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Katen [24]
2 years ago
12

Solve 2x2 + 20x = −38. (1 point)

Mathematics
2 answers:
RoseWind [281]2 years ago
8 0

Answer:

The solutions are x=-5+\sqrt{6}  and x=-5-\sqrt{6}


Step-by-step explanation:

we have

2x^{2} +20x=-38

Divide by 2 both sides

x^{2} +10x=-19 ------> x^{2} +10x+19=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


x^{2} +10x+19=0

so


a=1\\b=10\\c=19


substitute

x=\frac{-10(+/-)\sqrt{10^{2}-4(1)(19)}}{2(1)}


x=\frac{-10(+/-)\sqrt{100-76}}{2}


x=\frac{-10(+/-)\sqrt{24}}{2}


x=\frac{-10(+/-)2\sqrt{6}}{2}


x1=\frac{-10(+)2\sqrt{6}}{2}=-5+\sqrt{6}


x2=\frac{-10(-)2\sqrt{6}}{2}=-5-\sqrt{6}


balu736 [363]2 years ago
8 0
Pull  \ out \ like \ factors : \\ \\ 

   42 + 20x  =   2 * (10x + 21) \ \\ \\  Solve : \   2   = \  0 \\ \\  Subtract  21  from both sides of the equation : \\ 
                      10x = -21 \\ \\ Divide both sides of the equation by 10: \\ \\ 
                     x = -21/10 = \boxed{-2.100 }

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