Which quadratic equation has solutions of x=2a and x=-b? explain A) x^2-2ab=0 B)x^2-x(b-2a)-2ab=0 C)x^2-x(b+2a)+2ab=0 D)x^2+x(b-2a)-2ab=0?

2016-05-31 8:28 am

回答 (1)

2016-05-31 8:49 am
The quadratic equation has solutions of x = 2a and x = -b.

Then, x = 2a or x = -b
x - 2a = 0 or x + b = 0
(x - 2a)(x + b) = 0
x(x + b) - 2a(x + b) = 0
x² + bx - 2ax - 2ab = 0
x² + x(b - 2a) - 2ab = 0

...... The answer is: D. x² + x(b - 2a) - 2ab = 0


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