SOLUTION: Hi tutor please help me with this problem. Put the equation in the form ax2 + bx + c = 0. Use the caret (^) to enter exponents. For example, enter x2 as x^2 Question: x^2 + 8x

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Hi tutor please help me with this problem. Put the equation in the form ax2 + bx + c = 0. Use the caret (^) to enter exponents. For example, enter x2 as x^2 Question: x^2 + 8x      Log On


   



Question 290950: Hi tutor please help me with this problem. Put the equation in the form ax2 + bx + c = 0. Use the caret (^) to enter exponents. For example, enter x2 as x^2

Question: x^2 + 8x + 10 = 3

(x*2)(x*2)=4x
4x+8x+10=3
-3 -3
4x+8x+7=0

Found 2 solutions by ankor@dixie-net.com, Deina:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Question: x^2 + 8x + 10 = 3
Subtract 3 from both sides
x^2 + 8x + 10 - 3 = 0
:
x^2 + 8x + 7 = 0; this is the ax^2 + bx + c = 0 form
Factors to
(x+7)(x+1) = 0
Two solutions
x = -7
and
x = -1
:
:
"(x*2)(x*2)=4x
4x+8x+10=3
-3 -3
4x+8x+7=0"
I am not sure what all this means

Answer by Deina(147) About Me  (Show Source):
You can put this solution on YOUR website!
+x%5E2+%2B+8x+%2B+10+=+3+
+x%5E2+%2B+8x+%2B+10+%2Bhighlight%28-3%29+=+3+%2Bhighlight%28-3%29+
+x%5E2+%2B+8x+%2B+7+=+0+ & bob's your uncle!

Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 1x%5E2%2B8x%2B7+=+0) has the following solutons:

x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca

For these solutions to exist, the discriminant b%5E2-4ac should not be a negative number.

First, we need to compute the discriminant b%5E2-4ac: b%5E2-4ac=%288%29%5E2-4%2A1%2A7=36.

Discriminant d=36 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28-8%2B-sqrt%28+36+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%288%29%2Bsqrt%28+36+%29%29%2F2%5C1+=+-1
x%5B2%5D+=+%28-%288%29-sqrt%28+36+%29%29%2F2%5C1+=+-7

Quadratic expression 1x%5E2%2B8x%2B7 can be factored:
1x%5E2%2B8x%2B7+=+1%28x--1%29%2A%28x--7%29
Again, the answer is: -1, -7. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B8%2Ax%2B7+%29