X^2+1/2x+1/16=4/9 Factor the perfect-square trinomial on the left side of the equation. (x + ) ² = 4/9

Question

Patricky

Mathematics

Today, 11:22

X^2+1/2x+1/16=4/9 Factor the perfect-square trinomial on the left side of the equation. (x + ) ² = 4/9

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Answers (1)

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Ella Duke · Answer 1

The missing number is the square-root of the constant term on the left-hand-side, which equals sqrt (1/16) = 1/sqrt (16) = 1/4.

Check:

(x+1/4) ^2=x^2+2 * (1/4) x + (1/4) ^2=x^2+x/2+1/16. ok

Answer: x = 1/4