Question

Find the roots of quaditic equation 15x Square -30x=0

Answer 1

15x^2 = 30x
Taking 15x common
15x(x)= 15x(2)
So therefore
x=2
I hope it will help you
Please mark it as brainliest...

Answer 2

Given:

A quadratic equation -: 15x² - 30x = 0.

Find:

Roots of the quadratic equation.

Solution:

We can find the roots of the quadratic equation in 3 ways:

1. Splitting the middle term.
2. Completing the Square.
3. Quadratic Formula.

Here, we shall use splitting the middle term and quadratic formula to find the roots.

Splitting the Middle Term:

15x² - 30x = 0.

Since 15x is common in both the terms of the equation, let's take it out:

15x[x-2] = 0

So:

x -2 =0.

x = 2.

or

15x = 0

x = 0.

Using Quadratic Formula:

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

where a = 15, b = 30 and c = 0.

Substituting the values:

$x=\frac{-(-30) \pm \sqrt{30^{2}-4(15)(0)} }{2(15)}\\\\x=\frac{30 \pm \sqrt{900-0} }{30} \\\\x=\frac{30 \pm 30}{30} \\\\x= \frac{30+30}{30}=\frac{60}{30}=2\\\\x = \frac{30-30}{30}=\frac{0}{30}=0$

Therefore, the roots are 0 and 2.