simple but >
I f α a n d β a r e t h e r o o t s o f t h e e q u a t i o n x 2 + 3 x − 4 = 0 , t h e n α 1 + β 1 i s e q u a l t o
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4 solutions
exactly but dang it i pressed the negative sign
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Exactly what I did :p
You can simply use the method of middle term factorization to find out the roots ( 1 , ( − 4 ) ) too!
Why in negative, the answer is wrong?
The roots are 1 and -4.Therefore the required answer is 3/4.
Polynomial → x 2 + 3 x − 4 By vieta’s formula, α + β = a − b = − 3 α ⋅ β = a c = − 4 N o w , α 1 + β 1 = α ⋅ β α + β = − 4 − 3 = 4 3
We know that
x 2 + 3 x − 4 = ( x + 4 ) ( x − 1 )
So the solutions are x = − 4 and x = 1 thus we know − 4 1 + 1 1 = 4 − 1 + 4 = 4 3
Please edit: x-4 ?!!
Use Vieta's Formula.