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16. Find the roots of the quadratic equation 3x2 - 11x + 8 = 0 by factorisation method​

Answer»

EXPLANATION.

Quadratic equation.

⇒ 3x² - 11X + 8 = 0.

As we know that,

Factorizes the equation into middle term splits, we get.

⇒ 3x² - 8x - 3x + 8 = 0.

⇒ x(3x - 8) - 1(3x - 8) = 0.

⇒ (x - 1)(3x - 8) = 0.

⇒ x = 1 and x = 8/3.

                                                                                                                     

MORE INFORMATION.

Maximum and MINIMUM value of quadratic expression.

In a quadratic expression ax² + bx + c.

(1) = If a > 0, quadratic expression has least value at x = -b/2a. This least value is given by 4ac - b²/4a = -D/4a.

(2) = If a < 0, quadratic expression has greatest value at x = -b/2a. This greatest value is given by 4ac - b²/4a = -D/4a.


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