Which expression gives the solutions of 2x 2 6x

Asked by maham237 @ 03/06/2021 in Mathematics viewed by 294 People

-5+2x^2=-6x

Answered by maham237 @ 03/06/2021

-5 + 2x² = -6x
rearrange the equation to the form ax² + bx + c = 0

=> 2x² + 6x - 5

use the quadratic formula to solve for the value(s) of x $-b ± \sqrt{ \frac{b^{2} - 4ac}{2a} }$

=> $-6 ± \sqrt{ \frac{6^{2} - 4(2)(-5)}{2(2)} }$

=> $-6 ± \sqrt{ \frac{36 - (-40)}{4} }$

=> $-6 ± \sqrt{ \frac{76}{4} }$

∴ x = $-6 + \sqrt{ 19} }$ OR x = $-6 - \sqrt{19}$

x = - 1.64 ; x = - 10.36

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