6x2−17x+12 =0

Answer 1

To solve the equation 6x^2 - 17x + 12 = 0, we can use factoring or the quadratic formula.

First, let's try factoring the equation.
We want to find two numbers that multiply to 6 * 12 = 72 and add up to -17.

The numbers are -12 and -5.
So, we can rewrite the equation as (6x - 12)(x - 1) = 0.

Now we can set each factor equal to zero and solve for x.
6x - 12 = 0 or x - 1 = 0.

Solving for x, we have:
6x = 12 or x = 1.

Dividing both sides of the first equation by 6:
x = 2.

So, the solutions to the equation 6x^2 - 17x + 12 = 0 are x = 2 and x = 1.