Question

Factor the quadratic expression X(2) + 12=7x​

Answer 1

Answer:

(x-3)(x-4)

Step-by-step explanation:

x²+12=7x

x²-7x+12=0

x²-3x-4x+12=0

x(x-3)-4(x-3)=0

(x-3)(x-4)=0

Roots ( if required)

x-3=0

x=3

Similarly,

x=4

Answer 2

SOLUTION

TO DETERMINE

Factor the quadratic equation

x² + 12 = 7x

EVALUATION

Here the given quadratic equation is

x² + 12 = 7x

We now factor it as below

x² + 12 = 7x

⇒ x² - 7x + 12 = 0

⇒ x² - 3x - 4x + 12 = 0

⇒ x(x-3) - 4(x-3) = 0

⇒ (x-3)(x-4) = 0

Additional Information :

The roots can be find as below

(x-3)(x-4) = 0

Then x - 3 = 0 gives x = 3

x - 4 = 0 gives x = 4

So the roots are 3 and 4

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