Problem: The sum of the roots of the equation 4x2+5−8x=04 x^{2}+5-8 x=04x2+5−8x=0 is equal to:
Answer Choices:
A. 888
B. −5-5−5
C. −5/4-5 / 4−5/4
D. −2-2−2
E. none of these answers. Solution:
x2−8x4+54=0;∴r1+r2=−−84=2x^{2}-\dfrac{8 x}{4}+\dfrac{5}{4}=0 ; \quad \therefore r_{1}+r_{2}=-\dfrac{-8}{4}=2x2−48x+45=0;∴r1+r2=−4−8=2.