Question

Factorise x + 2x^2 - 528 by discriminant method

Answer 1

★★Heya★★

Given QUADRATIC POLYNOMIAL is

2x² + x - 528 = 0

It's Roots are

x = { -b ±√(D) } / 2a

Here, b = 1 , a = 2 And

D = ( 1 )² - 4 ( 2 ) ( -528 )

D = 4225

=>

x ±{ -1 ± √(4225) } /4

=>

x ± { -1 ± 65 } / 4

=>

{x -33/2} × { x + 16 }

Answer 2

AnswEr :

Given :

Factorise: x + 2x² - 528

To Find :

By discriminant method :

Explanation :

$\bf{\large{\boxed{\sf{x=\frac{-b\pm\sqrt{b^{2}-4ac } }{2a} }}}}}}$

As ax² + bx + c = 0 compared with given equation (2x² + x - 528 = 0) :

• a = 2
• b = 1
• c = -528

$\sf{x=\dfrac{-1\pm\sqrt{(1)^{2} -4*2*(-528)} }{2*2} }}\\\\\\\\\sf{x=\dfrac{-1\pm\sqrt{1-4*(-1056)} }{4} }\\\\\\\\\sf{x=\dfrac{-1\pm\sqrt{1+4224} }{4} }\\\\\\\\\sf{x=\dfrac{-1\pm\sqrt{4225} }{4} }\\\\\\\\\sf{x=\dfrac{-1\pm65}{4} }\\\\\\\\\sf{x=\dfrac{-1+65}{4} \:\:\:\:Or\:\:\:\:\:x=\dfrac{-1-65}{4} }}\\\\\\\\\sf{x=\cancel{\dfrac{64}{4}} \:\:\:Or\:\:\:\:x=\dfrac{-66}{4} }\\\\\\\\\sf{x=16\:\:\:\:\:\:Or\:\:\:\:\:x=-16.5}$