Solving Radical Equations Worksheet
Solving Radical Equations Worksheet - 1) x = 10 {100} 2) 10 = m 10 {1000} 3) v − 4 = 3 {13} 4) 6 = v − 2 {38} 5) n = 9 {81} 6) 5 = x + 3 {22} 7) 2 = 4b {1} 8) n + 9 = 1 {−8} 9) −8 + 5a − 5 = −3 {6} 10) 10 9x = 60 {4} 11) 1 = x − 5 {6} 12) −10 v − 10 = −60 Web a radical equation is any equation that contains one or more radicals with a variable in the radicand. Raise both sides of the equation to the power of the index. 3 − 3 = 0. Remember to check for extraneous solutions. Remember to check for extraneous solutions. 3) solve the equation that comes out after the squaring process. 51− (2) = (2) +5 ⇒7=7 only x=2 works! Check the answer in the original equation. 4) check your answers with the original equation to avoid extraneous values or solutions.
51− (2) = (2) +5 ⇒7=7 only x=2 works! 3√4x2 + 7 − 2 = 0. \ (2\sqrt {x+1}=4→\frac {2\sqrt {x+1}} {2}=\frac {4} {2}→\sqrt {x+1}=2\). Following are some examples of radical equations, all of which will be solved in this section: Check the answer in the original equation. 5 − −4 − 3 = 0. 3 − 3 = 0.
3 − 3 = 0. 9 − 3 = 0. 4) check your answers with the original equation to avoid extraneous values or solutions. 51− (2) = (2) +5 ⇒7=7 only x=2 works! Web o 0=(x+13)(x− 2) ⇐solve o so, x=−13 or x=2 ⇐must check both.
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\ ( x=3→2\sqrt {x+1}=2\sqrt {3+1}=2\sqrt {4}=2 (2)=4\) √2x − 1 = 3. Web a radical equation is any equation that contains one or more radicals with a variable in the radicand. Web solve a radical equation with one radical. 51− (2) = (2) +5 ⇒7=7 only x=2 works!
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\ (2\sqrt {x+1}=4→\frac {2\sqrt {x+1}} {2}=\frac {4} {2}→\sqrt {x+1}=2\). Web key steps to solve radical equations: 51− (2) = (2) +5 ⇒7=7 only x=2 works! √x + 2 − √x = 1. 3 − 3 = 0.
Quiz & Worksheet Solving Radical Equations with Two Radical Terms
1) x = 10 {100} 2) 10 = m 10 {1000} 3) v − 4 = 3 {13} 4) 6 = v − 2 {38} 5) n = 9 {81} 6) 5 = x + 3 {22} 7) 2 = 4b {1} 8) n + 9 = 1 {−8} 9) −8 + 5a − 5 = −3 {6} 10) 10.
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Web key steps to solve radical equations: √x + 2 − √x = 1. Remember to check for extraneous solutions. − = 4 = −. 3√4x2 + 7 − 2 = 0.
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Remember to check for extraneous solutions. 3) solve the equation that comes out after the squaring process. 3x− 2x−5=−2 ⇐ first, isolate one radical by adding 2x−5 to both sides. Remember to check for extraneous solutions. − = 4 = −.
Solving Radical Equations —
\ ( x=3→2\sqrt {x+1}=2\sqrt {3+1}=2\sqrt {4}=2 (2)=4\) Web solve a radical equation with one radical. Remember to check for extraneous solutions. Remember to check for extraneous solutions. 1) 110 − n = n {10} 2) p = 2 − p {1} 3) 30 − x = x {5} 4) x = 8x {0, 8} 5) x = 42 − x.
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Web solve a radical equation with one radical. Web a radical equation is any equation that contains one or more radicals with a variable in the radicand. \ ( x=3→2\sqrt {x+1}=2\sqrt {3+1}=2\sqrt {4}=2 (2)=4\) 3 − 3 = 0. \ (2\sqrt {x+1}=4→\frac {2\sqrt {x+1}} {2}=\frac {4} {2}→\sqrt {x+1}=2\).
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1) x = 10 {100} 2) 10 = m 10 {1000} 3) v − 4 = 3 {13} 4) 6 = v − 2 {38} 5) n = 9 {81} 6) 5 = x + 3 {22} 7) 2 = 4b {1} 8) n + 9 = 1 {−8} 9) −8 + 5a − 5 = −3 {6} 10) 10.
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Check the answer in the original equation. Raise both sides of the equation to the power of the index. 3√4x2 + 7 − 2 = 0. 3x− 2x−5=−2 ⇐ first, isolate one radical by adding 2x−5 to both sides. Web a radical equation is any equation that contains one or more radicals with a variable in the radicand.
Solving Radical Equations Worksheet - 3√4x2 + 7 − 2 = 0. − = 4 = −. 1) isolate the radical symbol on one side of the equation. Divide both sides by \ (2\). 4) check your answers with the original equation to avoid extraneous values or solutions. 51− (2) = (2) +5 ⇒7=7 only x=2 works! Remember to check for extraneous solutions. 2) square both sides of the equation to eliminate the radical symbol. Web solve a radical equation with one radical. 1) x = 10 {100} 2) 10 = m 10 {1000} 3) v − 4 = 3 {13} 4) 6 = v − 2 {38} 5) n = 9 {81} 6) 5 = x + 3 {22} 7) 2 = 4b {1} 8) n + 9 = 1 {−8} 9) −8 + 5a − 5 = −3 {6} 10) 10 9x = 60 {4} 11) 1 = x − 5 {6} 12) −10 v − 10 = −60
Remember to check for extraneous solutions. Check the answer in the original equation. 9 − 3 = 0. 2) square both sides of the equation to eliminate the radical symbol. Divide both sides by \ (2\).
3√4x2 + 7 − 2 = 0. 1) x = 10 {100} 2) 10 = m 10 {1000} 3) v − 4 = 3 {13} 4) 6 = v − 2 {38} 5) n = 9 {81} 6) 5 = x + 3 {22} 7) 2 = 4b {1} 8) n + 9 = 1 {−8} 9) −8 + 5a − 5 = −3 {6} 10) 10 9x = 60 {4} 11) 1 = x − 5 {6} 12) −10 v − 10 = −60 √2x − 1 = 3. Isolate the radical on one side of the equation.
Following Are Some Examples Of Radical Equations, All Of Which Will Be Solved In This Section:
Web a radical equation is any equation that contains one or more radicals with a variable in the radicand. 5 − −4 − 3 = 0. 3) solve the equation that comes out after the squaring process. √2x − 1 = 3.
3√4X2 + 7 − 2 = 0.
√x + 2 − √x = 1. 4) check your answers with the original equation to avoid extraneous values or solutions. This example will require you to square twice because there are two radicals in the problem. − = 4 = −.
1) X = 10 {100} 2) 10 = M 10 {1000} 3) V − 4 = 3 {13} 4) 6 = V − 2 {38} 5) N = 9 {81} 6) 5 = X + 3 {22} 7) 2 = 4B {1} 8) N + 9 = 1 {−8} 9) −8 + 5A − 5 = −3 {6} 10) 10 9X = 60 {4} 11) 1 = X − 5 {6} 12) −10 V − 10 = −60
3x− 2x−5=−2 ⇐ first, isolate one radical by adding 2x−5 to both sides. 2) square both sides of the equation to eliminate the radical symbol. Check the answer in the original equation. \ (2\sqrt {x+1}=4→\frac {2\sqrt {x+1}} {2}=\frac {4} {2}→\sqrt {x+1}=2\).
Remember To Check For Extraneous Solutions.
Isolate the radical on one side of the equation. 51− (2) = (2) +5 ⇒7=7 only x=2 works! Remember to check for extraneous solutions. 1) 110 − n = n {10} 2) p = 2 − p {1} 3) 30 − x = x {5} 4) x = 8x {0, 8} 5) x = 42 − x {6} 6) 12 − r = r {3} 7) 4n = n {0, 4} 8) 5v = v {0, 5} 9) r = 10 r {0, 10} 10) m = 56 − m {7} 11) b = −4 + 4b {2} 12) r = 8r {0, 8}