Question

Solve for x. Enter the solutions from least to greatest. 3x^2 – 33x + 54 = 0

lesser x =? greater x=?​

Answer 1

lesser x = 2

greater x = 9

Explanation:

3x² - 33x + 54 = 0

Divide both side of the equation by 3

x² - 11 x + 18 = 0

x² - 2x - 9x + 18 = 0

x ( x - 2 ) - 9 ( x - 2 ) = 0

( x - 9 ) ( x - 2) = 0

x - 2= 0 ; x - 9 = 0

solve for x

x = 2 ; x = 9

lesser x = 2

greater x = 9

Answer 2

Explanation:

3x² - 33x + 54 = 0

Divide the whole equation by 3

x²- 11x + 18 = 0

Sum = -11

Product = 18

Factors = -9 , -2 { - 9 + (-2) = -11 ; (-9) *(-2) = 18}

x² - 2x - 9x + -9 * -2 = 0

x(x - 2) - 9(x - 2) = 0

(x-2)(x-9) = 0

x - 2 = 0 ; x - 9 = 0

x = 2 ;x = 9

Lesser x = 2

greater x = 9