5x2 - 7x + 2 = 0, Solve equation by factorization method
Answers
Answer :
x = 1 (or) 2/5
Step-by-step explanation :
Given quadratic equation,
5x² - 7x + 2 = 0
It is of the form ax² + bx + c = 0
a = 5, b = -7, c = 2
a - coefficient of x²
b - coefficient of x
c - constant term
By sum-product pattern,
>> Find the product of quadratic term [ax²] and constant term [c]
= 5x² × 2
= 10x²
>> find the factors of "10x²" in pairs
=> (x) (10x)
=> (-x) (-10x)
=> (2x) (5x)
=> (-2x) (-5x)
>> From the above, find the pair that adds to get linear term [bx]
-2x - 5x = -7x
>> So, split 3x as -5x and -2x
5x² - 7x + 2 = 0
5x² - 5x - 2x + 2 = 0
>> Find the common factor
5x(x - 1) - 2(x - 1) = 0
(x - 1) (5x - 2) = 0
=> (x - 1) = 0 ; x = 1
=> (5x - 2) = 0 ; x = 2/5
∴ x = 1 (or) 2/5
The zeroes of the polynomial are 1 and 2/5
Step-by-step explanation:
Kindly refer the attachment
