Factorize x²+x-20 Plz solve this one
Answers
Answered by
48
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.
Answered by
4
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.
Similar questions
Science,
4 months ago
Social Sciences,
4 months ago
Computer Science,
4 months ago
Physics,
8 months ago
Social Sciences,
8 months ago
English,
11 months ago
Geography,
11 months ago