Question

Solve these equation by factorisation​

Answer 1

Step-by-step explanation:

1.x²-4x-12=0

x²-6x+2x-12=0

x(x-6)+2(x-6)=0

(x-6)(x+2)=0

(x-6)=0 or (x+2)=0

x=6 or x=-2

it's given that x=natural number.

therefore,the root of quadratic equation is 6.

2.2x²-9x+10=0

2x²-4x-5x+10=0

2x(x-2)-5(x-2)=0

(x-2)(2x-5)=0

(x-2)=0 or (2x-5)=0

x=2 or 2x=5

x=2 or x=5/2

it's given that x=natural number.

therefore,the root of quadratic equation is 2.