# Math

Find the exact solution to 6x^2+1=-8x by using the Quadratic Formula.

A)-4+-(sqrt10)
B)-4+-(sqrt22)/6
C)-2+-2(sqrt10)/3
D)-4+-(sqrt10)/6
I chose C

x=-b+-(sqrtb^2-4ac)/2a
x=--8+-(sqrt-8^2-4(6)(1))/2(6)
x=8+-(sqrt64-24)/12
x=8+-(sqrt40)/12
x= C

1. 👍
2. 👎
3. 👁
1. correct

1. 👍
2. 👎
2. In the first one a = 6, b = 8 and c = 1
x = [-8 +-sqrt (64-24)]/12
=[-8 +-sqrt(4*10)]/12
=[-8 +-2sqrt(10)]/12
=[-4 +-sqrt10]/6

1. 👍
2. 👎
3. Thanks for picking up on that
As George would have said,
"I guess I mislooked"

1. 👍
2. 👎
4. Please explain x = [-8 +-sqrt (64-24)]/12
=[-8 +-sqrt(4*10)]/12

1. 👍
2. 👎
5. 64 - 24 = 40 = 4*10

1. 👍
2. 👎
6. I did all the steps

1. 👍
2. 👎
7. i don't understand

1. 👍
2. 👎
8. a = 6
b = 8
c = 1
why did you use -8 for b?
why dis you not divide -b by 2a?
you left a bracket out, wrecking everything
x = [ -8 +/- sqrt (64 - 4*6*1) ] /2*6
x = [ -8 +/- sqrt(64-24) ] / 12
x = [ -8 +/- sqrt (4*10) ] /12
x = [ -8 +/- 2 sqrt (10) ] / 12
x = [ -4 +/- sqrt(10) ] / 6
I agree with drwls :)

1. 👍
2. 👎
9. Which don't you understand:
64-24 = 40, or
40 = 4 x 10?
Or my use of * for x when multiplying?
We do that often here to avoid confusion with the algebraic variable x.

1. 👍
2. 👎

## Similar Questions

1. ### algebra

Unit 4: Quadratic Functions and Equations Lesson 6: The Quadratic Formula and the Discriminant 1.) a=5, b=9, c=-4 2.) C 3.) No solution 4.) x=-2, x=1.25 5.) x=-9, x=3 6.) quadratic formula 7.) 2 8.) 11cm by 16cm

2. ### math help how do i do this

Decide which part of the quadratic formula tells you whether the quadratic equation can be solved by factoring. −b b^2 − 4ac 2a Use the part of the quadratic formula that you chose above and find its value, given the following

3. ### algebra 2

x^2 - 3x + 5 = 0. solve using quadratic formula. show solution

4. ### linear systems

The statement that is false is A. A system of quadratic-quadratic equations can have exactly one solution. B. A system of quadratic-quadratic equations has no solutions if the graphs do not intersect. C. It is impossible for a

1. ### Algebra

Write a quadratic inequality whose solution is x < 3 or x > 7 I know the formula and everything, but I'm not sure where to move on from the inequality formula (x-a)(x-b)>0 Can someone please explain, am I supposed to use the

2. ### Math

a) Explain the relationship between the axis of symmetry and the quadratic formula. b) We know that the quadratic formula can be used to determine the roots of a quadratic function. However, the quadratic formula also reveals how

can you solve the equation using the quadratic formula x2 + 3x = 7? Explain and provide an exact answer.

4. ### ALGEBRA

How do you know if a quadratic equation will have one, two, or no solutions? How do you find a quadratic equation if you are only given the solution? Is it possible to have different quadratic equations with the same solution?

1. ### Algebra 1

Which method is the best method for solving the equation 8x^2-123x+3=0 square roots factoring graphing quadratic formula my answer is quadratic formula

2. ### algebra 2

a. find the value of the discriminant b. describe the number and type of root c. find the exact solution by using quadratic formula 1. p^2+12p=-4 2. 9x^2-6x+1=0 3. 2x^2-7x-4=0

3. ### Math

Find the exact solution and a two-decimal-place approximation for it by using the Laws of Logarithms and the Change of Base Formula. 4^(5 − x) = 6 (a) using the Laws of Logarithms exact solution approximate solution (b) using

4. ### Math (Calc)

Find the Exact value of Pi/24. I'm not sure whether to use a half-angle formula or a difference/sum of angles formula.