Question

Factorize x²+x-20 Plz solve this one

Answer 1

Answer:

Step-by-step explanation:

X²+X-20

PRODUCTS = -20

SUM = +1

NUMBERS = +5 AND -4

X²+5 X -4 X -20

= X (X+5) -4(X+5)

= (X+5)(X-4).

THEREFORE THE FACTORIZED FORM IS (X+5)(X-4).

HOPE THIS HELPS.

Answer 2

Answer :-

x² + x - 20

= x² + (5 - 4)x - 20

= x² + 5x - 4x - 20

= x(x + 5) - 4(x + 5)

= (x - 4) (x + 5)

.°. Either, (x - 4) = 0 or, (x + 5) = 0

=> x = 4 or, => x = -5

Hence, the value of x will be 4 or, -5.

Verifying -

Putting the first value of x (4) in the equation :

=> (4)² + 4 - 20 = 0

=> 16 + 4 - 20 = 0

=> 20 - 20 = 0

=> 0 = 0

Hence, verified.

Putting the second value of x (-5) in the equation :

=> (-5)² + (-5) - 20 = 0

=> 25 - 5 - 20 = 0

=> 25 - 25 = 0

=> 0 = 0

Hence, verified.