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What value of b makes this poynomial a perfect square x2 plus 24x plus plus b?
Updated: 9/20/2023
Wiki User
∙ 12y agoBest Answer
For it to have two equal roots then the discriminant of the quadratic equation must equal zero:-
242-4*(b) = 0
576 -4*(b) = 0
-4*(b) = -576
Divide both sides by -4 to find the value of b:
b = 144
So the quadratic equation is: x2+24x+144 = 0
When factored: (x+12)(x+12) = 0
Therefore: x = -12 or x = -12
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∙ 12y agoThis answer is:
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