5x2 +12x+17 find this solution
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5x²-12x-17= 0
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given:
A quadratic polynomial 5x^2 + 12x +7
To Find:
We need to find the zeroes of this
polynomial.
Solution:
We can find the zeroes of the given
polynomial by the method of splitting the
middle term.
Given quation is 5x^2 + 12x +7
We need to find two such numbers whose
sum is 12 and product is 5x 7 35.
The two numbers are 5 and 7.
Now,
5x^2+5x+7x+7
5x(X+ 1)+7(x+1)
(5x +7) (x+ 1)
Either 5x+7 = 0 or x + 1 0
when,
5x +7 0
5x= -7
x= -7/5______ (1)
when,
X+ 1 0
x = -1 ________(2)
X = -1
From 1 and 2
The two zeroes of quadratic polynomial
5x^2+12x+ 7 are -7/5 and -1.
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