SOLUTION: 14.) Solve each equation by using the quadratic formula -8q^2-2q+1=0

Algebra.Com
Question 164915This question is from textbook Elementary and Intermediate
: 14.) Solve each equation by using the quadratic formula
-8q^2-2q+1=0
 This question is from textbook Elementary and Intermediate

Found 2 solutions by nerdybill, KnightOwlTutor:
Answer by nerdybill(7384)   (Show Source): You can put this solution on YOUR website!
-8q^2-2q+1=0
.
Solution: q = {-0.5, 0.25}
.
Details follows:
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: -0.5, 0.25. Here's your graph:
Answer by KnightOwlTutor(293)   (Show Source): You can put this solution on YOUR website!
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: -0.5, 0.25. Here's your graph:
RELATED QUESTIONS

14.) Solve each equation by using the quadratic formula -8q^2-2q+1=0 (answered by checkley77,Electrified_Levi)
Solve each equation by using the quadratic formula. 14. -8q^2 - 2q + 1 =... (answered by jim_thompson5910)
42. Find b^2 - 4ac and the number of real solutions to each equation. 14. Solve each... (answered by stanbon)
42. Find b^2 - 4ac and the number of real solutions to each equation. 14. Solve each... (answered by EMStelley)
I cannot solve the following, please help and show step by step if possible, thank you... (answered by Fombitz)
10.2 14. -8q^2 - 2q + 1 =... (answered by stanbon)
Solve equation: x^2+4x+3=0... (answered by amoresroy)
How do we solve 2q^3 - 8q^2 - 4950 =... (answered by vleith)
Please help me solve the quadratic equation 3x^2+19x-14=0 using the quadratic... (answered by jim_thompson5910)