8x^2-80x-75
By middle term splitting
Answers
Given : 8x^2 - 80 x - 75
To Find : middle term splitting
Solution:
8x^2 - 80 x - 75
Product of 8 x (-75) = - 600
hence middle term split will have one negative term and one positive term such that their sum is - 80 and product is - 600
Product
-81 1 -81
-82 2 -164
-83 3 -249
-84 4 -336
-85 5 -425
-86 6 -516
-87 7 -609
so we did not get product - 600 with integral values
Hence middle term split can not be applied here
Finding factors using
{-(-80) ± √(-80)² - 4(8)(-75) } / (2 * 8)
= {20) ± √(20)² - 2(-75) } / (4)
= ( 20 ± √550 ) / 4
10.863 , -0.863 are the roots
so approx middle term split could be
-86.904 × 6.904 ≈ - 600
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