evanrosebush evanrosebush
  • 12-01-2021
  • Mathematics
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What are the solutions of the quadratic equation? 4x^2−9x−9=0 SHOW THEP STEPS ON HOW TO SOLVE IT

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jacobEwing
jacobEwing jacobEwing
  • 12-01-2021

Answer:

x is equal to 3 and 3/4

Step-by-step explanation:

First we factor the left side

4x² - 9x - 9 = 0

4x² - 12x + 3x - 9 = 0

4x(x - 3)  + 3(x - 3) = 0

(4x + 3)(x - 3) = 0

We can then find the solutions by solving each term for zero:

4x + 3 =0

4x = 3

x = 3/4

And:

x - 3 = 0

x = 3

So x is equal to -3 and -3/4

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