SOLUTION: what is the solution set for 2x^2-7x+6=0

Question 634452: what is the solution set for 2x^2-7x+6=0
Found 2 solutions by radh, MathTherapy:
Answer by radh(108) (Show Source): You can put this solution on YOUR website!

One of the ways to solve this is to use the quadratic equation. But first, we must identify the a, b, and c values.

A is 2 (because the prerequisite for the first variable to make it a quadratic equation is x^2)

B is -7 (because the prerequisite for the second variable to make it a quadratic equation is x)

C is 6 (because there is no prerequisite for the third variable to make it a quadratic equation)

)(NOTE: A could be x^3 and B could be x^2. All that is required is that it goes from one level of exponents to the next. Squared to a normal x to no x, or maybe Cubed to squared to normal x)

Now we can solve the problem with the quadratic equation.

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=1 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 2, 1.5. Here's your graph:

Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

what is the solution set for 2x^2-7x+6=0

This trinomial can be factored as we're looking for 2 factors, which when mutiplied, gives us + 12 (c * a), and sum to - 7 (b). These two factors are: - 4 and - 3, making the replacement for - 7x, - 4x and - 3x. We now have:

(2x - 3)(x - 2) = 0

2x - 3 = 0 or x - 2 = 0

2x = 3 or x = 0 + 2

, or

Send comments and �thank-yous� to �D� at MathMadEzy@aol.com
RELATED QUESTIONS
What is the solution set for |2x � 6| � 7 =... (answered by Fombitz)
what is the solution set for 3 - 8/7x equal to or greater than 6 (answered by MathLover1)
what is the solution set of the equation x^2-7x... (answered by jim_thompson5910,josmiceli)
what is the solution set of 2x^3-3x^2-11x+6=0 and 1/2 is one... (answered by richard1234)
What is the solution set of the equation x^2+2x-15=0? thanks for your... (answered by jim_thompson5910)
What is the solution set for |2x � 3| =... (answered by jim_thompson5910)
what is the solution set for 2x squared plus... (answered by stanbon)
What are the solution sets for... (answered by JBarnum)
x^2-7x+6=o find the solution set (answered by Fombitz)