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math alegebra

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Posts: 385
8 years ago
 math alegebra note that x2 means x squared.find the type & number of solutions for each equation59.x2-6x= -561, x2-245x=-14463. 3x2-5x+3=0 Read 2386 times 7 Replies
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8 years ago
 $${{x}^{2}}-6{x}=-5$$Something like this?As you can tell, it's a quadratic!$${{x}^{2}}-6{x}+5=0$$Now you solve for x:$${{x}^{2}}-6{x}+5=0$$Or, you can factor out an $${x}$$:$${x}({x}-6)=5{x}=-5{x}-6=-5{x}=-5+6{x}=1$$So our $${x}$$ values are: -5 and 1I will work on the rest for you.I love this math module! Genius Idea  wrote...
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8 years ago
 Woops I made a mistake with the factoring in the previous question  wrote...
Educator
8 years ago
 Yeah, I can see you're struggling, why don't you put it in vertex form and from there, solve for the x's?
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wrote...
Educator
8 years ago
 Lets start with where you left off from, Star.$$x2 - 6x = -5$$x2 - 6x + 5 = 0You need to find factors of $$5$$ that add up to $$6$$... Let's try $$5 * 1 = 5$$, but when we add them, we get $$+6$$. So that won't work.Since, it's not working, we have to convert it into vertex form by completing the square and then manually solving for $$x$$.$$x2 - 6x + 5 = 0$$$$\frac{-6}{2}=(-3)^2=9x2 - 6x + 9 - 9 + 5 = 0(x-3)^2 - 4=0$$Now solve for $$x$$:$${sqrt{\4}} = {sqrt{\(x-3)^2}}$$+/-$$2 = x-3$$if +2: 2 + 3 = $$x = 5$$if -2: -2 + 3 = $$x = 1$$Don't forget to write a "therefore" statement The best way to say thank you is with a positive review:   Click here to review us!
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Valued Member
8 years ago
 Awesome, but we ended up getting the same answers , so I guess I was going it right afterall. Nini, are you ok with the other two or would u like me to answer them as well?  wrote...
Educator
8 years ago
 61. $$x^2-245x+144 = 0$$$$x^2-245x +$$$$({\frac{245}{2})^{2}}$$$$-({\frac{245}{2})^{2}}$$$$+144 = 0$$$$(x - \frac{245}{2})^2 - 14862.25 = 0+{sqrt{\14862.25}} + \frac{245}{2}= x = 244.41-{sqrt{\14862.25}} + \frac{245}{2}= x = 0.58917$$
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8 years ago
 SO FAR IM DOING GOOD WITH THE OTHERS I JUST NEED HELP WITH THE MORE ALGEBRA PART.   THANK YOU
 HOPE*FAITH*LOVE
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