Question

How to solve this?? Please help me in this maths

Answer 1

We use the quadratic formula to solve this.

Using the formula, the roots of a quadratic equation will be:

$\frac{-b +\sqrt{b^2 - 4ac}}{2a}\\\frac{-b -\sqrt{b^2 - 4ac}}{2a}$
So, now, obviously

b = 7

a = 1

Now, $\sqrt{61} = \sqrt{b^2 - 4ac}$

So

$61 = b^2 - 4ac$

And a = 1, b = 7

$61 = 7^2 - 4(1)(c)$

$61 = 49 - 4(c)$

$-4c = 69 -49$

$-4c = 20$

$c = -5$

So, the value of b is 7 and the value of c is -5