BTGmoderatorDC wrote:What is the sum of all values of that satisfy the equation 4x^2 +16=32x?
A) −8
B) −4√2
C) −4
D) 4√2
E) 8
For any quadratic in the form x² + bx + c = 0:
Product of the roots = c
Sum of the roots = -b
Given equation:
4x² + 16 = 32x
4x² - 32x + 16 = 0
x² - 8x + 4 = 0
In the resulting quadratic, b=-8.
Thus:
Sum of the roots = -(-8) = 8.
The correct answer is
E.
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