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Algebra 19 Online
OpenStudy (anonymous):

Help?

OpenStudy (anonymous):

ya?

OpenStudy (anonymous):

Solve the following quadratic equation using completing the square method , show all work. How many solutions will the quadratic have? How do you find the number of solutions without solving? The equation is x^2=-4x+5

OpenStudy (anonymous):

It would be so awesome if you could help, @kaiden37! I reallllly need it

OpenStudy (anonymous):

@Secret-Ninja You there?

OpenStudy (anonymous):

@989freak can you please help me?

OpenStudy (anonymous):

nope sorry

OpenStudy (anonymous):

Ok, thanks anyway :)

OpenStudy (anonymous):

@jim_thompson5910 help??

OpenStudy (anonymous):

@aum @jgirl128 I reallllly need help!

OpenStudy (secret-ninja):

What class is this for? Is it FLVS?

OpenStudy (anonymous):

No, its for my Algebra class

OpenStudy (anonymous):

Its a practice sheet :/ and i really wanna be able to understand everything on here

OpenStudy (secret-ninja):

What grade is it for? Like, are you in Algebra 1, 9th grade? or another?

OpenStudy (anonymous):

Im in 11th grade Algebra 2, sorry haha

OpenStudy (secret-ninja):

Oh hoop! I'm not quite there yet. haha. Sorry for ot being able to help. :/ Hope you get help soon! :)

OpenStudy (anonymous):

It's totally fine! :) thanks for trying c: do you know of anyone that can help?

OpenStudy (anonymous):

@aum you think you can help me out?

OpenStudy (aum):

Solve x^2 = -4x + 5 by completing the square. Add 4x to both sides: x^2 + 4x = 5 To complete the square, add (b/(2a))^2 to both sides where b is the coefficient of the x term and a is the coefficient of the x^2 term. Here, a = 1 and b = 4. b/(2a) = 4/2 = 2 Add the square of 2 or 4 to both sides: x^2 + 4x + 4 = 5 + 4 (x + 2)^2 = 9 Take the square root on both sides: \((x+2) = \pm 3 \) Can you solve for the two values of x now?

OpenStudy (anonymous):

Woah, this helped so much! thanks! is it solved now?

OpenStudy (anonymous):

Im sorry, Im not the best at math :/

OpenStudy (aum):

\((x+2) = \pm 3\) x + 2 = -3 or x + 2 = +3 add -2 to both sides: x = -5 or x = 1 So the solutions are: x = -5 and x = 1.

OpenStudy (anonymous):

Thank you!! So there is two solutions? Also, how do you find the number of solutions with out solving?

OpenStudy (aum):

"Solve the following quadratic equation ...." : x = -5 and x = 1 "How many solutions will the quadratic have?" Two "How do you find the number of solutions without solving?" Find the discriminant. If the discriminant is zero, the quadratic will have one solution. In all other cases the quadratic will have two solutions.

OpenStudy (aum):

x^2=-4x+5 x^2 + 4x - 5 = 0 a = 1, b = 4, c = -5 Discriminant = b^2 - 4ac = (4)^2 - 4(1)(-5) = 16 + 20 = 36. Since the discriminant is NOT zero, this quadratic equation will have two solutions.

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