Question

Form the quadratic equation whose roots are
3-7 and 3+7.​

Answer 1

Answer:

x² -6x - 40

Explanation :

let the roots of the quadratic equation are α and β

α = (3-7) and β = (3+7)

As we know the formula to making a quadratic equation if the roots of the quadratic polynomial are α and β,

[x² - (α + β )x + (α.β)]

so the equation becomes,

x² - ((3-7)+(3+7))x + ((3-7)(3+7))

x² -(-4+10)x + ((-4)(10))

x² -6x - 40

therefore, x² -6x - 40 is the required quadratic equation