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To solve a quadratic equation (which means to find the zeros of that equation) you have two options

1. type the equation into a graphing calculator and graph the resulting equation and find where the x intercepts are (where y=0)

2. solve the quadratic equation by factoring

First, set the equation equal to zero.

x2-8x-9=0

Then find the resulting x values by "smiling"

multiply the first term and the last term (x2) (9)

find two numbers that add to -8 and multiply to -9

these two numbers are -9 and 1

x2- 9x 1x-9

x(x-9) 1(x-9)

the resulting factors are 0= (x+1)(x-9)

to find the roots, set these factors = 0

x+1=0

x=-1

x-9=0

x=9

Therefore, the solutions for the quadratic equation are x=-1 and x=9

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Q: What are the solutions for the quadratic equation x2 minus 8x equals 9?
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