factorise by using suitable identity p^2 -6p -55
Answers
Answered by
8
EXPLANATION.
Factorizes : p² - 6p - 55.
As we know that,
Factorizes the equation into middle term splits, we get.
⇒ p² - 11p + 5p - 55 = 0.
⇒ p(p - 11) + 5(p - 11) = 0.
⇒ (p + 5)(p - 11) = 0.
⇒ p = - 5 and p = 11.
MORE INFORMATION.
Conjugate roots.
(1) = If D < 0.
One roots = α + iβ.
Other roots = α - iβ.
(2) = If D > 0.
One roots = α + √β.
Other roots = α - √β.
Answered by
3
Step-by-step explanation:
given :
- factorise by using suitable identity p^2 -6p -55
to find :
- p^2 -6p -55
solution :
- >p² - 11p + 5p - 55 = 0.
- p(p-11) + 5(p - 11) = 0.
- (p + 5)(p-11) = 0.
- → p = -5 and p = 11.
answer :
- p = -5 and p = 11.
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