Question

X²+ 2x- 35 =0 the roots of the quadratic equation

Answer 1

Answer :

The roots of the quadratic equation are 5 or -7

Solution :

x² + (7 - 5)x - 35 = 0

=> x² + 7x - 5x + 35 = 0

=> x (x + 7) - 5 (x - 7) = 0

=> (x - 5) (x + 7) = 0

Therefore, Either (x - 5) = 0 or, (x + 7) = 0

=> x = 5 or, x => -7

Hence, the two roots of the equation or the two values of x are 5 or -7 respectively

Answer 2

Answer:

$\large\boxed{\sf{5\:\:and\:\:-7}}$

Step-by-step explanation:

Given a quadratic equation :

${x}^{2} + 2x - 35 = 0$

To find the roots, factorise it by splitting middle term .

$= > {x}^{2} + 7x - 5x - 35 = 0$

Taking out common terms, we have,

$= > x(x + 7) - 5(x + 7) = 0 \\ \\ = > (x + 7)(x - 5) = 0 \\ \\ = > x + 7 = 0 \: \: \: or \: \: \: \: x - 5 = 0 \\ \\ \sf{= > x = - 7 \: \: \: or \: \: \: x = 5}$

Hence, roots are 5 and -7