Question

I need to know the full quadratic equation answer

Answer 1

Required Answer :

x(2x + 4)= x²+ 4 (9 - 3x)

2x² + 4x = x² + 36 - 12x

2x² - x² + 4x + 12x - 36=0

x² + 16x - 36=0

Quadratic equation in Standard form,

• a = 1,
• b = 16
• c = -36

Using Quadratic formula,

`\implies \sf x = \frac{ - b \pm \sqrt{ {b}^(2) - 4ac} }{2a} \\ \\ \implies \sf x = \frac{ - 16 \pm \sqrt{ {16}^(2) - 4(1)( - 36)} }{2 * 1} \\ \\ \implies \sf x = ( - 16\pm √(256 - ( - 144)) )/(2) \\ \\ \implies \sf x = ( - 16 \pm √(256 + 144) )/(2) \\ \\ \implies \sf x = ( - 16 \pm √(400) )/(2) \\ \\ \implies \sf x = ( - 16 \pm20)/(2) \\ \\ \implies \sf x = ( - 16 \pm 20)/(2) \\ \\ \implies \sf x = (4)/(2) \: or \: ( - 36)/(2) \\ \\ \implies \sf x = 2 \: or \: - 18`