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Sagot :
Answer:
The solutions to the equation are x = -3/2 and x = 3
Explanations:The given equation is:
2x² - 3x = 9
This can be written as:
2x² - 3x - 9 = 0
This is a quadratic equation, and can be solved using factorization method
Multiply the first and the last numbers (2 x 9 = 18)
Look for factors of 18 that will add up to -3(the one in the middle)
The factors of 18 that will add up to -3 are -6 and 3
The equation then becomes:
2x² - 6x + 3x - 9 = 0
(2x² - 6x) + (3x - 9) = 0
2x ( x - 3) + 3(x - 3) = 0
(2x + 3) (x - 3) = 0
2x + 3 = 0
2x = -3
x = -3 / 2
x - 3 = 0
x = 3
The solutions to the equation are x = -3/2 and x = 3
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