Question

Find the number of solution of equation 6 x^2 + 5 x - 6 - e^x

Answer 1

{ Correcting the question; to find solution for 6x² + 5x - 6 = 0 }

Answer:

Two solutions; x = - 3, 2/3

Step-by-step explanation:

The given equation is

6x² + 5x - 6 = 0

or, 6x² + (9 - 4)x - 6 = 0

or, 6x² + 9x - 4x - 6 = 0

or, 3x (x + 3) - 2 (x + 3) = 0

or, (x + 3) (3x - 2) = 0

Either x + 3 = 0 or, 3x - 2 = 0

So x = - 3 or, x = 2/3

Therefore the required solution is

x = - 3, 2/3

Remark:

However if we consider the given equation 6x² + 5x - 6 - eˣ = 0 to be correct, there will be an infinite number of solutions.