Math, asked by srijanshouryaman99, 8 months ago

Q 7 please answer fast


I’ll mark as brainliest

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Answers

Answered by usharmavn
1

Answer:

Step-by-step explanation:

we must know that for any quadratic equation, ax^2 + bx + c =0

the sum of the roots = -b/a

and the product of the roots equal = c/a

for the equation t^2 - t - 4

\alpha + \beta = -(-1)/1= 1

and

\alpha \beta = -4

therefore using them we will get that

the quadratic equation with roots 1/alpha and 1/beta will be

1/\alpha + 1/\beta =  \alpha + \beta/ \alpha \beta = -1/4 = -b/a

therefore = b/a = 1/4

and

1/\alpha \beta = 1/-4 = -1/4 = c/a

thereofore

ax^2 + bx + c = 4x^2 + x -1 = 0

CHEERS MATE, PLEASE MARK BRAINLIEST

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