Suppose the roots of the equation 2x^2−5x−6=0 are α and β.find the quadratic equation with roots 1/α and 1/β.

The quadratic equation with roots 1/α and 1/β is

Solution:

Given, roots of equation

We have to find equation whose roots are 1/α, and 1/β.

We know that,

Now, we know that, general form of an equation is

Then, equation whose roots 1/α and 1/β is

from above given equation,

x=-7

step-by-step explanation:

x+3=-10

-10+3=-7

x=-7

step-by-step explanation:

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