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
OA E
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What is the sum of all values of that satisfy the equation 4
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BTGmoderatorDC
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For any quadratic in the form x² + bx + c = 0: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
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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I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
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