Answer:
The greater root of [tex]3x^2 + 10x - 8 = 0[/tex] is x = 3/2.
Step-by-step explanation:
Here, the given equation is : [tex]3x^2 + 10x - 8 = 0[/tex]
Now, solving the given expression by SPLITTING THE MIDDLE TERM,
[tex]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\\[/tex]
⇒ 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 [tex]3x^2 + 10x - 8 = 0[/tex] is x = 3/2.
