SweetHoney44
SweetHoney44 SweetHoney44
  • 14-01-2019
  • Mathematics
contestada

What is the solution set of 4x^2-3=11x?

What is the solution set of 4x2311x class=

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aboylanp6zv98
aboylanp6zv98 aboylanp6zv98
  • 14-01-2019
I believe the answer is C
Answer Link
Ammimochi
Ammimochi Ammimochi
  • 14-01-2019

Move all terms to one side

4x^2 - 3 - 11x = 0

Split the second term in 4x^2 - 3 - 11x into two terms

4x^2 + x - 12x - 3 = 0

Factor out common terms in the first two terms, then in the last two terms

x(4x + 1) -3(4x + 1) = 0

Factor out the common term 4x + 1

(4x + 1)(x - 3) = 0

Solve for x

x = -1/4, 3

Answer: C. {-1/4, 3}

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