Answer D.
x²+3x-10=0
(x+5)(x-2) = 0
x = 5 or x = -2
d = 3² - 4*1*-10
d = 9 + 40
d = 49 ==> d > 0
There are two different real roots.
x = (-b +/- \/d) : 2a
x = (-3 +/- \/49) : 2
x' = (-3 +/- 7) : 2
x' = (-3 + 7) : 2 = 4: 2 = 2
x" = (-3 - 7) : 2 = -10 : 2 = -5
Solution: {x belongs to R| x' = 2 and x" = -5}
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2007-04-09 13:57:39
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answer #1
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answered by aeiou 7
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OK. First, you have to factor this expression. You have x^2, so the equation looks like this:
(x+?)(x+?) Now you have to find a number that multiplies to make -10, and adds up to make 3. This is factoring. Those numbers are 5 and -2. So now, you equation looks like this:
(x+5)(x-2) Now to find the =0 part of the problem, you have to find the number in each parenthesis that will equal 0. Those numbers are -5 because -5 plus 5 equals 0 and 2 because -2 +2 equals 0.
This means the answer is D.
This will work for any other problem similar to this. I hope I helped! Good Luck!!!
2007-04-09 14:02:32
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answer #2
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answered by b 5
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D
Factor X^2+3x-10=(X-2)(X+5)
(X+5)=0 if X=-5
(X-2)=0 if X=2
2007-04-09 13:55:51
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answer #3
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answered by Anonymous
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X^2-3x-10=0 (X-5) (X+2)=0 -2, 5
2016-05-21 02:40:38
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answer #4
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answered by ? 3
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A: (x + -2)(x +5)
2007-04-09 14:40:12
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answer #5
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answered by KT Sue 1
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this is the Zero Product Property, you must break it down, or somthing
You must make x=0
x2+3x-10=0
10
3
2007-04-09 13:54:15
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answer #6
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answered by Anonymous
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assuming that's a square,
it would factor into (x + 5)(x - 2)
so... what would x be in order for either of those to equal 0?
D, of course
2007-04-09 13:54:20
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answer #7
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answered by Xadow 2
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(x+5)(x-2) = 0
x = -5,2
2007-04-09 13:55:39
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answer #8
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answered by ironduke8159 7
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(x+5)(x-2)
x = -5 ro 2
D
2007-04-09 13:53:20
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answer #9
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answered by 7
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D
2007-04-09 13:57:41
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answer #10
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answered by Anonymous
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