catwolf1995
contestada

Solve.

x^2 − 5x − 8 = 0

Enter your answers, as exact values, in the boxes.

x = blank or x = blank

PLEASE NOTE I think that these are the answers, but I need help!!!

Solve x2 5x 8 0 Enter your answers as exact values in the boxes x blank or x blank PLEASE NOTE I think that these are the answers but I need help class=

Respuesta :

Answer:

Step-by-step explanation:

There are several approach to solving a quadratic equation; factorization, completing the square, the use of 'the almighty formula etc. Though i didn't see the steps you followed in solving, but from your answer, it is obvious you made good attempt but something is missing, your answer should be (5+√57)/2 or (5-√57)/2

boffeemadrid

The values of [tex]x[/tex] in the given equation are required.

The values of [tex]x[/tex] are [tex]6.27[/tex] or [tex]-1.27[/tex].

The equation is

[tex]x^2-5x-8=0[/tex]

Applying the quadratic formula

[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\Rightarrow x=\dfrac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\times1\times \left(-8\right)}}{2\times1}\\\Rightarrow x=\dfrac{5\pm \sqrt{57}}{2}\\\Rightarrow x=\dfrac{5+ \sqrt{57}}{2},\dfrac{5- \sqrt{57}}{2}\\\Rightarrow x=6.27,-1.27[/tex]

The values of [tex]x[/tex] are [tex]6.27[/tex] or [tex]-1.27[/tex].

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