find the roots of quadratic equation 2x²-5x+3=0
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EXPLANATION.
Roots of quadratic equation.
⇒ 2x² - 5x + 3 = 0.
As we know that,
Factorizes the equation into middle term splits, we get.
⇒ 2x² - 3x - 2x + 3 = 0.
⇒ x(2x - 3) - 1 (2x - 3) = 0.
⇒ (x - 1)(2x - 3) = 0.
⇒ x = 1 and x = 3/2.
MORE INFORMATION.
Conjugate roots.
D = Discriminant Or b² - 4ac.
(1) If D < 0.
One roots = α + iβ.
Other roots = α - iβ.
(2) If D > 0.
One roots = α + √β.
Other roots = α - √β.
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