TAKE OUT THE FACTORS OF THE ALGEBRAIC EXPRESSION.....
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TAKE OUT THE FACTORS OF THE ALGEBRAIC EXPRESSION.....
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Answer:
-1 and -7/2
Step-by-step explanation:
Considering the quadratic formula:
[tex]\frac{(-b+\sqrt{b^{2} -4ac })}{2a}[/tex] is one root and the other root is [tex]\frac{(-b-\sqrt{b^{2} -4ac })}{2a}[/tex]
here a = 2 b = 9 c = 7
[tex]\frac{(-9+\sqrt{9^{2} -4*2*7 })}{2*2}[/tex] = [tex]\frac{-9+5}{4}[/tex] = -1
[tex]\frac{(-9-\sqrt{9^{2} -4*7*2 })}{2*2}[/tex] = [tex]\frac{-9-5}{4}[/tex] = -7/2
sot the roots are -1 and -7/2
Verified answer
2x²+9x+7
→ 2x²+7x+2x+7
→ x(2x+7)+1(2x+7)
→ (x+1) (2x+7)
After finding the factors, we can also find the value of x:-
(x+1)=0 / (2x+7)=0
→x=-1 / 2x=-7
→ x=-1 / x=-7/2
So, x=-1, -7/2
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