4×2-14=0

Add 14 to both sides of the equation.

4×2=14

Divide each term in 4×2=14 by 4.

4×24=144

Cancel the common factor of 4.

Cancel the common factor.

4×24=144

Divide x2 by 1.

x2=144

x2=144

Cancel the common factor of 14 and 4.

Factor 2 out of 14.

x2=2(7)4

Cancel the common factors.

Factor 2 out of 4.

x2=2⋅72⋅2

Cancel the common factor.

x2=2⋅72⋅2

Rewrite the expression.

x2=72

x2=72

x2=72

x2=72

Take the square root of both sides of the equation to eliminate the exponent on the left side.

x=±72

Simplify the right side of the equation.

Rewrite 72 as 72.

x=±72

Multiply 72 by 22.

x=±72⋅22

Combine and simplify the denominator.

Multiply 72 and 22.

x=±7222

Raise 2 to the power of 1.

x=±7222

Raise 2 to the power of 1.

x=±7222

Use the power rule aman=am+n to combine exponents.

x=±7221+1

Add 1 and 1.

x=±7222

Rewrite 22 as 2.

Use axn=axn to rewrite 2 as 212.

x=±72(212)2

Apply the power rule and multiply exponents, (am)n=amn.

x=±72212⋅2

Combine 12 and 2.

x=±72222

Cancel the common factor of 2.

Cancel the common factor.

x=±72222

Divide 1 by 1.

x=±722

x=±722

Evaluate the exponent.

x=±722

x=±722

x=±722

Simplify the numerator.

Combine using the product rule for radicals.

x=±7⋅22

Multiply 7 by 2.

x=±142

x=±142

x=±142

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=142

Next, use the negative value of the ± to find the second solution.

x=-142

The complete solution is the result of both the positive and negative portions of the solution.

x=142,-142

x=142,-142

x=142,-142

The result can be shown in multiple forms.

Exact Form:

x=142,-142

Decimal Form:

x=1.87082869…,-1.87082869…

Solve Using the Square Root Property 4x^2-14=0