Question

Plz answr this..
Find the roots of the quadratic equation 3√2^2− 5 − √2 = 0 by factorization method.

Answer 1

Answer:-

According to the Question

Given Equation :- 3√2x² - 5x - √2 = 0

We calculate the roots of the quadratic equation by factorisation method .

Splitting the middle term

$:\implies$ 3√2x² -(6x-x) -√2 = 0

$:\implies$ 3√2x² -6x + x -√2

Taking Common

$:\implies$ 3√2x ( x - √2) + 1 (x -√2) =0

$:\implies$ (x-√2) ( 3√2x +1) = 0

$:\implies$ x-√2 = 0 or 3√2x + 1 = 0

$:\implies$ x = √2 or x = -1/3√2

• Hence the root of the equation are √2 & -1/3√2 .

Answer 2

Given :-

3√2x² - 5x - √2 = 0

To Find :-

Roots

Solution :-

At first spillting the middle term

3√2x² - 5x - √2 = 0

3√2x² - (5x - x) - √2 = 0

3√2x² - 5x + x - √2 = 0

3√2x(x - √2) + 1(x - √2) = 0

(3√2x + 1)(x - √2) = 0

3√2x + 1 = 0

3√2x = -1

x = -1/3√2

or

x - √2 = 0

x = √2

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