Question

The roots of a quadratic equation x2 – 33x + 252 = 0 are
b) 21 or 12
c)-21 or 12
a) 21 or 17
d) -21 or -12​

Answer 1

Answer:

opt )b

Step-by-step explanation:

it is there in the picture

Answer 2

Given:

A quadratic equation

${x}^{2} - 33x + 252 = 0$

To find:

The roots of the given quadratic equation.

Solution:

The correct option is b) 21 or 12.

To answer this question, we will follow the following steps:

As given in the question, we have

A quadratic equation

${x}^{2} - 33x + 252 = 0$ ...(i)

To find the roots of the equation, we will write the second term as the addition or subtraction of those two terms whose product is equal to the product of the first and third terms of the quadratic equation.

So,

(i) can be written as

${x}^{2} - 21x - 12x + 252 = 0$

$x(x - 21) - 12(x - 21) = 0$

after taking common factors, we get

$(x - 12)(x - 21) = 0$

$x = 12 \: and \: x = 21$

Hence, the two roots of the given quadratic equation are b) 21 or 12.