Question

Solve 3x2 + 5x - 8 = 0 using quadratic formula

Answer 1

roots are 1 and -8/3 respectively

Answer 2

Answer:

x = 1

x =  - 2.667

Step-by-step explanation:

As per the question,

We have been provided the quadratic equation,

$3x^{2}+5x-8 =0$

Let a quadratic equation be

$ax^{2}bx+c =0$

The formula for roots is given by

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

Now,

From the given equation, we have

a = 3

b = 5

c = -8

Therefore,

$x=\frac{-5\pm \sqrt{5^{2}-4(3)(-8)}}{2(3)}}$

On solving, we get two values of x

∴ x = 1

And

$x =\frac{-8}{3}$

Hence, the required root is 1 and - 2.667