Finding the x values of a quadratic that

Terrence Riddle

Terrence Riddle

Answered question

2022-04-05

Finding the x values of a quadratic that has many different variables
The two solutions of the quadratic equation 3x2x+k=0 are p4 and p+1. Determine the values of k and p.

Answer & Explanation

Ouhamiptkg

Ouhamiptkg

Beginner2022-04-06Added 18 answers

We know the two solutions: p4 and p+1
So, just substitute x in the equation with the above values.
3(p4)2p4+k=0
and, 3(p+1)2(p+1)+k=0
Rodach42hj

Rodach42hj

Beginner2022-04-07Added 4 answers

p4+p+1=(1)3
and p4(p+1)=k3
Through Vieta's relations.
In general, if there is a quadratic in form of ax2+bx+c=0, having two roots α,β, then:
α+β=ba
and αβ=cca

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