Asked by anon
Solve the following quadratic equation using the perfect square trinomial pattern: 1/4x2+2x+4=0.
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Answered by
GPT-5 mini
AI
Interpret the equation as (1/4)x^2 + 2x + 4 = 0.
Multiply both sides by 4 to eliminate the fraction:
x^2 + 8x + 16 = 0.
Recognize a perfect square trinomial:
(x + 4)^2 = 0.
So x + 4 = 0 and thus x = -4.
(The quadratic has a repeated root x = -4.)
Multiply both sides by 4 to eliminate the fraction:
x^2 + 8x + 16 = 0.
Recognize a perfect square trinomial:
(x + 4)^2 = 0.
So x + 4 = 0 and thus x = -4.
(The quadratic has a repeated root x = -4.)
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