Posted by **Anonymous** on Sunday, October 3, 2010 at 6:35pm.

For this equation x^(2) + x + 2

which you can't factor

but then you can use the quadratic formula

but than why is the answer no real solutions when I can use the quadratic formula?

- Algebra -
**Reiny**, Sunday, October 3, 2010 at 6:44pm
did you mean the equation

x^2 + x + 2 = 0 ?

When you solve an equation of the form

ax^2 + bx + c =0 you are really just asking,

"where does the graph of the corresponding function

y = ax^2 + bx + c cross the x-axis"?

In your case the graph, which is a parabola, lies totally above the x-axis, thus no x-intercepts , and thus no real solution.

If the b^2 - 4ac part of the formula is zero, there will be only one solution.

If the b^2 - 4ac part of the formula is positive, there will be 2 different real solutions.

If the b^2 - 4ac part of the formula is negative, like in your case, there will be no real solution at all.

(there will be two imaginary solutions)

- Algebra -
**Anonymous**, Sunday, October 3, 2010 at 6:47pm
thank you

I forgot about having a negative for b^2 - 4ac was no real solutions

## Answer this Question

## Related Questions

- Algebra II - 1)What method(s) would you choose to solve the equation: x2 + 2x - ...
- Algebra - Consider the equation: 4x^2 – 16x + 25 = 0 (a) Show how to compute the...
- Algebra - Consider the equation 4x^2 – 16x + 25 = 0. (a) Show how to compute the...
- math,algebra - can someone help me out factor out this 0=16t^2-122t+180 i have ...
- college algebra - find the real solutions, if any. use the quadratic formula 2/...
- math algebra - Factor the given expression. Then use the zero product rule and ...
- math algebra - Factor the given expression. Then use the zero product rule and ...
- math algebra - Factor the given expression. Then use the zero product rule and ...
- Algebra - Use the quadratic formula to find the real solutions: 2x/x-3 + 2/x = 3...
- Math - Find the real solutions, if any, to this equation. Use the quadratic ...