Find the roots of the quadratic equation x-2 nbsp-3x - 2-0- using factorisation method- 1- 2-1- 2-3- 2-3- 2-

The correct option is A 1, 2 Given quadratic equation: nbsp;x^2 nbsp; 3x + 2=0 We need to find two numbers such that their sum is 3 and their product is ...

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Standard X

Mathematics

Solving a Quadratic Equation by Factorization Method

Find the root...

Question

Find the roots of the quadratic equation $x^{2} - 3 x + 2 = 0$ , using factorisation method.

$1, 2$

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$- 1, 2$

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$3, 2$

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$- 3, 2$

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Solution

The correct option is A
$1, 2$

Given quadratic equation: $x^{2} - 3 x + 2 = 0$

We need to find two numbers such that their sum is -3 and their product is 2.

These numbers are $- 2 a n d - 1$ .
So, rewriting the equation as

$x^{2} - 3 x + 2 = 0$

$x^{2} - 2 x - x + 2 = 0$

$x (x - 2) - 1 (x - 2) = 0$

$(x - 1) (x - 2) = 0$

$x = 1 o r x = 2$

Therefore, 1 and 2 are the roots of the equation $x^{2} - 3 x + 2 = 0$ .

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