Solve each equation(use zero product property)
1. (x-9)(x+8)=0
2. x^2-21x+108=0
3. 2s^2-13s-24=0
4. 3n^2+12n-288=0
5. c^2-81=0
6. x^2+306=-35x
1. (x-9)(x+8)=0
2. x^2-21x+108=0
3. 2s^2-13s-24=0
4. 3n^2+12n-288=0
5. c^2-81=0
6. x^2+306=-35x
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1. x=9 or -8
2. (x-9)(x-12) = 0
x=9 or 12
3. (2s+3)(s-8) = 0
s= -3/2 or 8
4. 3(x+12)(x-8) = 0
x= -12 or 8
5. (c+9)(c-9) = 0
c=9 or -9
6. (x+18)(x+17) = 0
x= -18 or -17
2. (x-9)(x-12) = 0
x=9 or 12
3. (2s+3)(s-8) = 0
s= -3/2 or 8
4. 3(x+12)(x-8) = 0
x= -12 or 8
5. (c+9)(c-9) = 0
c=9 or -9
6. (x+18)(x+17) = 0
x= -18 or -17
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(1) x=9 or x = -8
(2) x=9 or x = 12
(3) s = 8 or s = -3/2
(4) n = 8 or n = -12
(5) c = 9 or c = -9
(6) x = 17 or x = 18
You asked for the answers. Did you want the solutions? If you learn the process, then you will be able to solve any of these.
The steps would be to rewrite each quadratic so that one side is zero. Then you factor (is possible). Set each factor equal to zero. The solve each individual equation. The check.
(2) x=9 or x = 12
(3) s = 8 or s = -3/2
(4) n = 8 or n = -12
(5) c = 9 or c = -9
(6) x = 17 or x = 18
You asked for the answers. Did you want the solutions? If you learn the process, then you will be able to solve any of these.
The steps would be to rewrite each quadratic so that one side is zero. Then you factor (is possible). Set each factor equal to zero. The solve each individual equation. The check.
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anything * 0 = 0, so at least one of your factors in the equation must be set =0
1. (x-9)(x+8)=0
(x-9)=0
x=9
(x+8)=0
x= -8
x= 9 or -8
2. x^2-21x+108=0
(x-9)(x-12)=0
(x-9)=0
x=9
(x-12)=0
x=12
x=9 or 12
3. 2s^2-13s-24=0
(2s+1)(s-12)=0
(2s+1)=0
2s = -1
s = - 1/2
(s-12)=0
s=12
s = -1/2 or 12
4. 3n^2+12n-288=0
3(n^2+4n-96)=0
3(n-8)(n+12)=0
(n-8)=0
n=8
(n+12)=0
n= -12
n = 8 or -12
5. c^2-81=0
(c+9)(c-9)=0
(c+9)=0
c= -9
(c-9)=0
c= -9
c = 9 or -9
6. x^2+306=-35x
x^2+35x+306=0
(x+17)(x+18)=0
(x+17)=0
x= -17
(x+18)=0
x= -18
x = -17 or -18
1. (x-9)(x+8)=0
(x-9)=0
x=9
(x+8)=0
x= -8
x= 9 or -8
2. x^2-21x+108=0
(x-9)(x-12)=0
(x-9)=0
x=9
(x-12)=0
x=12
x=9 or 12
3. 2s^2-13s-24=0
(2s+1)(s-12)=0
(2s+1)=0
2s = -1
s = - 1/2
(s-12)=0
s=12
s = -1/2 or 12
4. 3n^2+12n-288=0
3(n^2+4n-96)=0
3(n-8)(n+12)=0
(n-8)=0
n=8
(n+12)=0
n= -12
n = 8 or -12
5. c^2-81=0
(c+9)(c-9)=0
(c+9)=0
c= -9
(c-9)=0
c= -9
c = 9 or -9
6. x^2+306=-35x
x^2+35x+306=0
(x+17)(x+18)=0
(x+17)=0
x= -17
(x+18)=0
x= -18
x = -17 or -18
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1. X=-8 (-8-9=-17)x(-8+8=0) -17x0=0
2. Sorry couldn't get it
3.sorry couldn't get it
4.sorry couldn't get it
5.c=9 (9^2=81)-81=0
Good luck with #6 because I couldn't find any number that fits. Hope that helped!
2. Sorry couldn't get it
3.sorry couldn't get it
4.sorry couldn't get it
5.c=9 (9^2=81)-81=0
Good luck with #6 because I couldn't find any number that fits. Hope that helped!
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1) x=9 or -8
2. x^2-21x+108=0
x-12)(x-9) = 0
x=12 or 9
3. 2s^2-13s-24=0
(2s+3)(s-8)=0
s=-3/2 or 8
4. 3n^2+12n-288=0
n^2 + 4n - 96 = 0
(n+12)(n-8)=0
n=-12 or 8
5. c^2-81=0
(c-9)(c+9) = 0
c = 9 or -9
6. x^2+306=-35x
x^2+306+35x=0
x^2+35x+306=0
(x+18)(x+17)=0
x=-18 or -17
2. x^2-21x+108=0
x-12)(x-9) = 0
x=12 or 9
3. 2s^2-13s-24=0
(2s+3)(s-8)=0
s=-3/2 or 8
4. 3n^2+12n-288=0
n^2 + 4n - 96 = 0
(n+12)(n-8)=0
n=-12 or 8
5. c^2-81=0
(c-9)(c+9) = 0
c = 9 or -9
6. x^2+306=-35x
x^2+306+35x=0
x^2+35x+306=0
(x+18)(x+17)=0
x=-18 or -17
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1) x -9 = 0 =>x = 9 or x + 8 = 0 => x = - 8
2) (x - 9)(x - 12) = 0 => x = 9 or x = 12
3) (2s + 3)(s - 8) = 0 => x = -3/2 or s = 8
4) (3n + 36)(n - 8) = 0 => n = -12 or n = 8
5) (c - 9)(c + 9) = 0 => c = 9 or - 9
6) x^2 + 35x + 306 = 0
(x + 17)(x + 18 ) = 0 => x = - 17 or x = - 18
2) (x - 9)(x - 12) = 0 => x = 9 or x = 12
3) (2s + 3)(s - 8) = 0 => x = -3/2 or s = 8
4) (3n + 36)(n - 8) = 0 => n = -12 or n = 8
5) (c - 9)(c + 9) = 0 => c = 9 or - 9
6) x^2 + 35x + 306 = 0
(x + 17)(x + 18 ) = 0 => x = - 17 or x = - 18