Question

factorise x^2-4x-50 ​

Answer 1

Answer:

hey!

${x}^{2} - 4x - 50$

= Add 50 to both side of the equation :

x2-4x = 50

Now the clever bit: Take the coefficient of x , which is 4 , divide by two, giving 2 , and finally square it giving 4

Add 4 to both sides of the equation :

On the right hand side we have :

50 + 4 or, (50/1)+(4/1)

The common denominator of the two fractions is 1 Adding (50/1)+(4/1) gives 54/1

So adding to both sides we finally get :

x2-4x+4 = 54

hope it will be helpful ✌️

Answer 2

Answer:

x^2 - 4x - 50 = 0

By the $\mathfrak{Quadratic\: formula:}$

$\tt{x = \frac{-b \pm \sqrt{b^{2} - 4ac}}{2a}}$

=> $\tt{x = \frac{4 \pm \sqrt{16 + 200}}{2}}$

=> $\tt{x = \frac{4 \pm 4\sqrt{13}}{2}}$

=> $\tt{x = 2 \pm 2\sqrt{13}}$

Roots = $\tt{2 + 2\sqrt{13} , 2 - 2\sqrt{13}}$

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