Question

Find The root of equation 6x +7 X- 10 by completing method

Answer 1

$\huge\mathfrak{Answer:}$

Given:

• We have been given an equation 6x² + 7x - 10.

To Find:

• We need to find the roots of this equation.

Solution:

Given equation: 6x² + 7x - 10.

We can find the roots of this equation by the method of splitting the middle term.

We need to find two such numbers whose sum is 7 and product is -60.

Two such numbers are 12 and -5.

Therefore, We have

$\sf{( {6x}^{2} + 7x - 10)}$

$\implies\sf{ {6x}^{2} + 12x - 5x - 10}$

$\implies\sf{6x(x + 2) - 5(x + 2)}$

$\implies\sf{(x + 2)(6x - 5)}$

Therefore, either (x + 2) = 0 or (6x - 5) = 0.

When (x + 2) = 0

=> x = -2

When (6x - 5) = 0

=> 6x = 5

=> x = 5/6

Hence, the roots of this equation are -2 and 5/6.