Question

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

Answer 1

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.

Answer 2

$\huge\mathfrak\blue{hello}$

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‣ANSWER彡

$\huge\sf\red{quadric \: equation - }$

$➣3x {}^{2} - 11x + 8 = 0$

NOW, WE HAVE TO FACTORISE IT :-

$➣3x {}^{2} - 11x + 8 = 0 \\ ➣3 \times x \times x - 11 \times x + 2 \times 2 \times 2 = 0 \\ ➣x(3x - 8) - 1(3x - 8) = 0 \\ (3x - 8)(x - 1) = 0$

SO, x = 1 and x = 8/3

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