Question

a and are the roots of the equation 5r- 4x-3=0, find the values of A+B and A×B
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Answer 1

EXPLANATION.

α, β are the roots of the equation.

⇒ 5x² - 4x - 3 = 0.

As we know that,

Sum of the zeroes of the quadratic polynomial.

⇒ α + β = - b/a.

⇒ α + β = - (-4/5) = 4/5.

Products of the zeroes of the quadratic polynomial.

⇒ αβ = c/a.

⇒ αβ = (-3/5).

As we know that,

Formula of quadratic polynomial.

⇒ x² - (α + β)x + αβ.

Put the values in the equation, we get.

⇒ x² - (4/5)x + (-3/5) = 0.

⇒ 5x² - 4x - 3 = 0.

Hence Proved.