Question

find the two roots of
x^2 + 2√2x - 6 ​

Answer 1

√2 and -3√2

Step-by-step explanation:

GIVEN:

• A quadratic equation: x²+2√2x-6

TO FIND:

• Two Roots of the given equation.

SOLUTION:

Let's solve this method by factorisation method.

➠x²+2√2x-6=0

Here, we are going to split the middle term: 2√2x

2√2x can be splitted as 3√2x-√2x in which,

• When we subtract, 3√2x-√2x, we get the middle term = 2√2x

• When we multiply, 3√2x × -√2x, we get -6x²

➠x²+2√2x-6=0

➠x²+3√2x-√2x-6=0

On taking x and -√2 as common,

➠x(x+3√2)-√2(x+3√2)=0

➠(x-√2)(x+3√2)=0

➠x-√2 = 0 , x+3√2 = 0

➠x = √2, -3√2

Hence, the two roots of the given equation are √2 and -3√2.