Factorization of x2+76x+60 will be ____.

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Factorization of x2+7 $\sqrt{6}$ x+60 will be ____.

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Detailed Solution

We are given the equation x2+7

\sqrt{6}

x+60 ..............… (1)
Since we know general form of a quadratic equation is ax2+bx+c=0
On comparing equation (1) with general equation we can write a=1, b=7

\sqrt{6}

, c=60
Now we calculate the product of coefficient of x2 and the constant term
Since coefficient of x2 is 1 and the constant term is 60
Then the value of product is 60×1 = 60............… (2)
We have to break the coefficient of ‘x’ i.e. 7

\sqrt{6}

in such a way that the sum of those terms give 7

\sqrt{6}

and the product of those terms gives 60.
We write prime factorization of the number 60
⇒ 60 = 2×2×3×5
So we can form 60 = 5×2×6, but here we are dealing with under root of 6, so we will take both the terms as multiples of