Question

1,567,000 = 925,000 × (1 + x)^2 , I don't know what I'm doing wrong , I keep getting .83 but the answer is around .3

Answer 1

solving for x?

Answer 2

those numbers are big

Answer 3

i think it may be 1,567,000/925,000 = (1 +x)^2

Answer 4

divide both sides by 925000, then take the square root of both sides, then subtract 1 and you get .30

Answer 5

Yes , step by step would be nice :)

Answer 6

(1,567,000/925,000) - 1^2 = x^2

Answer 7

\[\frac{1567000}{925000}=(1+x)^2\]
\[\frac{1567}{925}=(1+x)^2\]

Answer 8

now take square root of both sides

Answer 9

\[\sqrt{\frac{1567}{925}}=\sqrt{(1+x)^2}\]
recall that \[\sqrt{(1+x)^2}=|1+x|=\pm (1+x)\]
so we have
\[\pm \sqrt{\frac{1567}{925}} =1+x\]

Answer 10

now subtract 1 on both sides
\[-1 \pm \sqrt{\frac{1567}{925}}=x\]

Answer 11

\[x=-1 \pm \sqrt{\frac{1567}{925}}\]

Answer 12

1567/925= 1.694, so sqrt(1.694)=sqrt((1+x)^2)
so sqrt(1.694)=(1+x)
so sqrt(1.694) - 1 = x
1.30-1=x
x=.3

Answer 13

thats one answer

Answer 14

-2.3 is the other

Answer 15

.3,-2.3 are approximations just so you know
i gave you the exact values above