Question

Solve the quadratic equation
$x(2x + 1)(x - 2)(2x - 3) = 63$
​

Answer 1

Answer:

x = 3, x = -3/2

Step-by-step explanation:

Given Equation is x(2x + 1)(x - 2)(2x - 3) = 63

⇒ x(2x² - 3x - 2)(2x - 3) = 63

⇒ x(4x³ - 12x² + 5x + 6) = 63

⇒ 4x⁴ - 12x³ + 5x² + 6x = 63

⇒ 4x⁴ - 12x³ + 5x² + 6x - 63 = 0

⇒ 4x⁴ + 5x² + 21x - 12x³ - 15x - 63 = 0

⇒ 4x⁴ + 5x² + 21x - 12x³ - 15x - 63 = 0

⇒ x(4x³ + 5x + 21) - 3(4x³ + 5x + 21) = 0

⇒ (x - 3)(4x³ + 5x + 21) = 0

⇒ (x - 3)(4x³ + 5x + 21) = 0

⇒ (x - 3)(2x + 3)(2x² - 3x + 7) = 0

⇒ x = 3, x = -3/2.

Hope it helps!

Answer 2

Step-by-step explanation:

CHECK OUT THE GIVEN ATTACHMENT