Step-by-step Solution

Solve the quadratic equation $x^2-8x-1008=0$

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Step-by-step explanation

Problem to solve:

$x^2-8x-1008=0$

Learn how to solve quadratic equations problems step by step online.

$x=\frac{8\pm 64}{2}$

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Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation x^2-8x-1008=0. To find the roots of a polynomial of the form ax^2+bx+c we use the quadratic formula, where in this case a=1, b=-8 and c=-1008. Then substitute the values of the coefficients of the equation in the quadratic formula:<ul><li>\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}</li></ul>. To obtain the two solutions, divide the equation in two equations, one when \pm is positive (+), and another when \pm is negative (-). Subtract the values 8 and -64. Add the values 8 and 64.

Final Answer

$x=36,\:x=-28$
$x^2-8x-1008=0$

Main topic:

Quadratic equations

Related formulas:

1. See formulas

Time to solve it:

~ 0.03 s (SnapXam)