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Mathematics 7 Online
OpenStudy (anonymous):

5s^2-42s+49=0

OpenStudy (anonymous):

Pr 245 sum -42 5s^2-35s-7s+49=0 5s(s-7)-7(s-7)=0 (5s-7)(s-7)=0 5s-7=0 or s-7=0 s=7/5 or s=7

OpenStudy (anonymous):

got it thanks

OpenStudy (anonymous):

Check: 5(7/5)^2-42*7/5+49=0 5*49/25-294/5+49=0 49/5-294/5+49=0 -49+49=0 And do the same for the second answer s=7 to make sure it's correct.

OpenStudy (anonymous):

how about 6x^2-19+10=0

OpenStudy (anonymous):

You are welcome. Try to follow the same steps. Do you understand what to do?

OpenStudy (anonymous):

i tryied but i could seem to factor it right

OpenStudy (anonymous):

OO. this one little different.

OpenStudy (anonymous):

so it is 15 and 4

OpenStudy (anonymous):

there is a x behind 19

OpenStudy (ybarrap):

6x^2-19+10=0 (6x -4 )(6x -15 )/6 =2(6x - 4)3(2x - 15)/6 =(6x-4)(2x-15)

OpenStudy (anonymous):

6x^2-9=0 factor out 3 3(2x^2-3)=0 2x^2-3=0 2x^2=3 X^2=3/2 X=+-sqrt(3/2)

OpenStudy (anonymous):

it was solution for 19.

OpenStudy (anonymous):

sorry i wrote problem wrong is is 6x^2-19x+10=0

OpenStudy (ybarrap):

I figured that.

OpenStudy (anonymous):

the problem really started as 6x^2=19x-10

OpenStudy (anonymous):

Yes, I get it. so try same steps again. Product is 60, sum is -19

OpenStudy (anonymous):

so would be -15 and -4 right

OpenStudy (anonymous):

yes, and then we will rewrite -19x = -15x -4x

OpenStudy (anonymous):

then you will factor by grouping and have the result.

OpenStudy (anonymous):

You always can check your answers by plugging them into the original equation and make sure it's becomes true statements.

OpenStudy (anonymous):

thanks

OpenStudy (anonymous):

okay how about x^2+10ax+21a^2

OpenStudy (anonymous):

i don't even know where to start

OpenStudy (ybarrap):

(x + 3a )(x + 7a)

OpenStudy (ybarrap):

try factoring without the "a" first, then figure out what a should be to make the equation make sense visually.

OpenStudy (anonymous):

sweet thanks

OpenStudy (anonymous):

You are welcome. For the SECOND problem answers are (3x-2)(2x-5) x=2/3 or x=5/2 Sorry need to go.

OpenStudy (anonymous):

how about 3x^2-10xy+8y^+8y^2=0

OpenStudy (anonymous):

wrote it wrong 3x^2-10xy+8y^2

OpenStudy (ybarrap):

(3x - 6y)(3x -4y )/3 3(x - 2y)(3x - 4y)/3 (x - 2y)(3x - 4y)

OpenStudy (ybarrap):

more please :)

OpenStudy (anonymous):

2(s-4)^2=128

OpenStudy (ybarrap):

(s-4)^2 - 64 = 0 ( (s-4) - 8)( (s -4 ) + 8) = 0 (s - 12)(s + 4) = 0 Ans. s = 12 and s = -4

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