solve with quadratic formula x^2+x=a^2+a
Answers
Step-by-step explanation:
Solve, using formula :
x^2 + x - (a + 2) (a + 1) = 0 .
SOLUTION:-
➠ Given, x²+x-(a+2)(a+1) = 0
➠ Comparing with ax²+bx+c = 0 , then we get
➠ ● a = 1 , ● b = -1 & ● c = -(a+2)(a+1)
➠ use Quadratic formula,
➠ x = (-b ±√D) /2a
Now,
➠ x = [-1±√(1²-4(-a +2)(a +1)]/(2×1)
➠ x = [ -1 ± √(1 -4 ( - a² +3a +2)] / 2
➠ x = [ -1 ± √(4a² +12a +9)]/2
➠ x = [ -1 ± (2a +3)]/2
➠ x = (2a +2)/2 & x =( -2a -4)/2
➠ .°. x = a +1x ➠ x = -(a +2)
So, Roots of given equation are :- (a +1) & -(a+2).
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Q. what is quadratic function formula?
ans :- the quadratic formula is simply just ax²+bx+c = 0 in terms of x. So the roots of ax²+bx+c = 0 would just be the quadratic equation, which is: (-b+-√b²-4ac) / 2a.
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Answer:
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