Solve using the quadratic formula.

2x2=8x-7

Step-by-step explanation:

Part 1: Rewriting equation to match ax² + bx + c = 0 (quadratic function)

The given equation is not written in quadratic form. To rewrite the equation:

To overcome this difficulty, follow these mathematical steps:

Subtract 8x from both sides of the equation to rearrange it to the left side. Then, add 7 to rearrange it as well. Finally, set the three values on the left of the equation equal to zero.

Part 2: Using the quadratic formula

The quadratic formula is defined as .

Using the parent quadratic function, the values are easy to find in the given equation.

Substitute these values into the quadratic formula and solve for x.

Part 3: Solving for x with the values from the quadratic formula

Now that x is set equal to the simplified version of the equation, the operations have to be followed through with.

This equation will have two zeros/roots to solve for by setting x equal to zero.

Operation 1: Addition

Operation 2: Subtraction

Because both values are the exact same (minus the operations), the roots can be simplified even further to one value:

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11-1 > 1-1+a

-12 > a

1 + (6 / x - 1)

step-by-step explanation:

divide using polynomial division.