Find the product of zeroes of the quadratic polynomial 2x^2-5x+2.
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EXPLANATION.
Quadratic equation.
⇒ 2x² - 5x + 2.
As we know that,
Sum of the zeroes of the quadratic equation.
⇒ α + β = -b/a.
⇒ α + β = -(-5)/2 = 5/2.
Products of the zeroes of the quadratic equation.
⇒ αβ = c/a.
⇒ αβ = 2/2 = 1.
MORE INFORMATION.
Nature of the roots of the quadratic expression.
(1) = Real and different, if b² - 4ac > 0.
(2) = Rational and different, if b² - 4ac is a perfect square.
(3) = Real and equal, if b² - 4ac = 0.
(4) = If D < 0 Roots are imaginary and unequal Or Complex conjugate.
Answered by
6
Explaination :-
Quadratic equation.
2x² - 5x + 2.
As we know that,
Sum of the zeroes of the quadratic equation.
⇒ a + B = -b/a.
⇒ a + B = -(-5)/2 = 5/2.
Products of the zeroes of the quadratic equation.
→ aß = c/a.
→ aß = 2/2 = 1.
Thank You*
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