SOLUTION: 3x^2-1=5x^2-3x-5

Question 175637This question is from textbook
: 3x^2-1=5x^2-3x-5 This question is from textbook

Found 2 solutions by jim_thompson5910, Mathtut:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Subtract from both sides. Add 1 to both sides.

Combine like terms.

Notice we have a quadratic equation in the form of where , , and

Let's use the quadratic formula to solve for x

Start with the quadratic formula

Plug in , , and

Negate to get .

Square to get .

Multiply to get

Rewrite as

Add to to get

Multiply and to get .

or Break up the expression.

So the answers are or

which approximate to or
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
given
:
combining like terms on one side
:
:
solution

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=41 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 2.35078105935821, -0.850781059358212. Here's your graph:

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