Let x2+13x=−3 . What values make an equivalent number sentence after completing the square? Enter your answers in the boxes. x2+13x+ =
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The complete equation is x^2 + 13x + 169/4 = 157/4How to determine the number that completes the square?The equation is given as:x^2 + 13x = -3Let the coefficient of x be represented with k.So, we have:k = 13Divide both sidesk/2 = 13/2Square both sides(k/2)^2 = 169/4Add 169/4 to both sides of the equationx^2 + 13x + 169/4 = -3 + 169/4Evaluate the sumx^2 + 13x + 169/4 = 157/4Hence, the complete equation is x^2 + 13x + 169/4 = 157/4Read more about completing the square at:
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