Mathematics: Which expression gives the solutions of –5 + 2x² = –6x?

12 + x = 0.80(20+x)12 + x = 16 + 0.80x12 = 16 -0.2x-4 = -0.2xx = -4/-0.2 = 20 they need to win 20 more games...

Which expression gives the solutions of –5 + 2x²

tsdean21

16.01.2022

$x=\frac{-3(+/-)\sqrt{19}} {2}$

Step-by-step explanation:

we have

$-5+2x^{2} =-6x$

Rewrite

$2x^{2}+6x-5=0$

we know that

The formula to solve a quadratic equation of the form $ax^{2} +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$2x^{2}+6x-5=0$

$a=2\\b=6\\c=-5$

substitute

$x=\frac{-6(+/-)\sqrt{6^{2}-4(2)(-5)}} {2(2)}$

$x=\frac{-6(+/-)\sqrt{76}} {4}$

$x=\frac{-6(+/-)2\sqrt{19}} {4}$

simplify

$x=\frac{-3(+/-)\sqrt{19}} {2}$

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