Answered

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Find the solution to the equation 2x^2-3x=9

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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