# Solve Using the Square Root Property 4x^2+6=17 4×2+6=17
Move all terms not containing x to the right side of the equation.
Subtract 6 from both sides of the equation.
4×2=17-6
Subtract 6 from 17.
4×2=11
4×2=11
Divide each term by 4 and simplify.
Divide each term in 4×2=11 by 4.
4×24=114
Cancel the common factor of 4.
Cancel the common factor.
4×24=114
Divide x2 by 1.
x2=114
x2=114
x2=114
Take the square root of both sides of the equation to eliminate the exponent on the left side.
x=±114
The complete solution is the result of both the positive and negative portions of the solution.
Simplify the right side of the equation.
Rewrite 114 as 114.
x=±114
Simplify the denominator.
Rewrite 4 as 22.
x=±1122
Pull terms out from under the radical, assuming positive real numbers.
x=±112
x=±112
x=±112
The complete solution is the result of both the positive and negative portions of the solution.
First, use the positive value of the ± to find the first solution.
x=112
Next, use the negative value of the ± to find the second solution.
x=-112
The complete solution is the result of both the positive and negative portions of the solution.
x=112,-112
x=112,-112
x=112,-112
The result can be shown in multiple forms.
Exact Form:
x=112,-112
Decimal Form:
x=1.65831239…,-1.65831239…
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