SOLUTION: solve the given equation bu completing the suqare and applying the square root property y^2-8y=-7 y=? or y=?

Question 212975: solve the given equation bu completing the suqare and applying the square root property
y^2-8y=-7
y=? or y=?
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
Solve the given equation by completing the square and applying the square root property

y=? or y=?

Step 1. Add 16 to both sides of the equation to get a perfect square on the left. Why 16? I divided -8 by 2 which gives -4 and then squared -4 to get 16.

Step 2. Taking the square root on both sides

and

Solving yields

ANSWER

Step 3. The other solution is found as follows:

ANSWER

Step 4. ANSWER IS x=7 and x=1

Step 5. As a check, the graph of the quadratic equation is shown below and note at x=7 and x=1 intersect the axis when y=0. So answer is correct

Solved by pluggable solver: SOLVE quadratic equation with variable

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=36 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 7, 1. Here's your graph:

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J

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