Question

Greater root of 3x^2+10x-8=0

Answer 1

The greater root of
`3x^2 + 10x - 8 = 0` is x = 3/2.

Explanation:

Here, the given equation is :
`3x^2 + 10x - 8 = 0`

Now, solving the given expression by SPLITTING THE MIDDLE TERM,

`3x^2 + 10x - 8 = 0  \implies 3x^2 + 12x - 2x - 8 = 0\\\implies 3x(x + 4)-2(x +4)  =0 \\\implies (3x -2)(x +4)  = 0\\`

⇒ Either ( 3x -2) = 0, or (x+4) = 0

⇒Either x = 2/3 , or x = -4

So, the two possible roots of the given equation are, x = 3/2 and x = -4

Now, out of both two possible roots, x 3/2 is the Greater.

Hence, the greater root of
`3x^2 + 10x - 8 = 0` is x = 3/2.