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PLEASE HELP!!! 15 POINTS!!! BRAINLY!!!!

Factor the equation using the quadratic formula and solve for x (Quadratic Formula Below)

[tex]\frac{-b±\sqrt{b^2-4ac} }{2a}[/tex]

Question:

[tex]x^2+10x+9=0[/tex]

Respuesta :

Answer:

x = -1 and x = -9

Step-by-step explanation:

a = 1 (aka the x²)

b = 10 (aka the 10x)

c = 9 (aka the 9)

Let's substitute those numbers in the quadratic formula.

(-10 ± √(10)² - 4(1)(9) / 2(1)

Let's focus on the numerator for now...

(-10 ± √((10)² - 4(1)(9))) → -10 ± √100 - 36 → -10 ± √64 → -10 ± 8

Now let's do the denominator, 2(1) → 2

Putting the numerator and the denominator together, your equation should now look like (-10 ± 8) / 2

Now we have to do two things, we have to do:

(-10 + 8) / 2  =  -2/2  →  -1          so, x = -1

(-10 - 8) / 2  =  -18/2  →  -9         so, x = -9

the answer to this is x=-1,-9
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