Solve x2 - 8x - 9 = 0. Rewrite the equation so that it is of the form x2 + bx = c.

Mathematics

2 answers:

Svet_ta [12.7K]2 months ago

4 0

Answer:

x=9,-1 and $x^2+(-8)x=9$

Explanation:

We are given the quadratic equation $x^2-8x-9$

, which we then compare with the standard form of a quadratic. The general quadratic is identified as $ax^2+bx+c=0$

. From our given equation, it follows that a=1,b=-8,c=-9

. To calculate the discriminant, we insert these values into the formula $D=b^{2}-4ac$

$D=(-8)^2-4(1)(-9)=100$

. Now, to find the value of x

The formula is $x=\frac{-b\pm\sqrt{D}}{2a}$

. The resulting equation will be obtained by rewriting the original equation through rearranging 9 to the right side and applying negative signs within brackets to convert the expression into the form of

$x^2+bx=c$

zzz [12.3K]2 months ago

4 0

From the provided information, it can be observed that a = 1, b = -8, and c = -9. To move c across the equation, simply add 9 to both sides,
x² - 8x -9 + 9 = 0 + 9
This will yield the result of
x² - 8x = 9.

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