Question

8x^2 - 64x + 120 = 0 solutions by factorisation method

Answer 1

Given:

• A quadratic equation is given to us .
• The equation is 8x²-64x +120=0.

To Find:

• The solutions of the quadratic equation.

Concept Used:

• We can solve by three methods.

1. Using standard formula .
2. By factorisation of the given equation.
3. By method of completing square.

Answer:

Let us solve by factorisation,

Taking the given equation ,

$\sf{\implies 8x^2-64x+120=0}$

$\sf{\implies 8(x^2-8x +16)=0}$

$\sf{\implies x^2-8x+16=\dfrac{0}{8}}$

$\sf{\implies x^2-8x+16=0}$

$\sf{\implies x^2-4x-4x+16=0}$

$\sf{\implies x(x-4)-4(x-4)=0}$

$\sf{\implies (x-4)(x-4)=0}$

${\underline{\boxed{\red{\sf{\leadsto x=4,4}}}}}$

Hence the solution of the given quadratic equation is 4.

Answer 2

Step-by-step explanation:

there u go

sorry or my handwriting it was too late so I wrote it in a hurry

hope it helps