Mathematics: what are the solutions to 2x2 + 7x = 4? select all that apply. 1/2 4 -1/2 -4 7 -7

You better go to hell Idiot girl...

what are the solutions to 2x2 + 7x = 4? select

emmacox069

12.01.2022

x=-4 and x=1/2

Step-by-step explanation:

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

$2x^{2} +7x=4$

equate to zero

$2x^{2} +7x-4=0$

$a=2\\b=7\\c=-4$

substitute in the formula

$x=\frac{-7(+/-)\sqrt{7^{2}-4(2)(-4)}} {2(2)}$

$x=\frac{-7(+/-)\sqrt{81}} {4}$

$x=\frac{-7(+/-)9} {4}$

$x=\frac{-7(+)9} {4}=\frac{1}{2}$

$x=\frac{-7(-)9} {4}=-4$

therefore

The solutions are

x=-4 and x=1/2

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