ALGEBRA 1SECTION 10.4Use Square Roots to Solve Quadratic EquationsBig Idea: Solve quadratic

equationsEssential Question: How do you solve a quadratic equation by finding square roots?

Solving Quadratic Equations by Taking Square Roots

Solving x2 = d by Taking Square Roots If d > 0, then x2 = d has two solutions:

If d = 0, then x2 = d has one solution:

If d < 0, then x2 = d has no solution.

dx

0x

Examples

Solve the following quadratic equations.a) c)

b) d)

82 2 x 5122 b

18182 m 273 2 x

Examples

Solve the following quadratic equations.a) b)94 2 z 4925 2 s

Examples

Solve the following quadratic equations.a) c)

b) d)

18)2(2 2 x42)4(6 2 x

28)3(4 2 x 24)5(3 2 x