The roots of the equation x^2-6x+7=0 are a and b. find a quadratic equation with roots a+1/b and b + 1/a. reply asap as i have an exam

Step-by-step explanation:

step 1

Find the roots of the quadratic equation

we know that

The formula to solve a quadratic equation of the form is equal to

in this problem we have

so

substitute in the formula

The roots of the equation are a and b

so

step 2

Find a quadratic equation with roots a+1/b and b + 1/a

so

The quadratic equation is equal to

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