Solving Quadratic Equations with Square Roots

To solve the given equation by taking square roots, we need to consider the positive and negative solutions.

x^{2} - 55 = 26

LHS + 55 = RHS + 55

x^{2} = 81

LHS = RHS

x = \pm 81

CalcRootCalculate root

x = \pm 9

We found that

x = \pm 9 .

Therefore, there are two solutions for the equation,

x = 9

and

x = - 9 .

Solving Quadratic Equations with Square Roots 1.20 - Solution