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(10 - 7x)^2 = 11

2007-11-24 11:34:29 · 17 answers · asked by Anonymous in Science & Mathematics Mathematics

17 answers

First: find the square root of both sides.

√(10 - 7x)^2 = +/- √11
10 - 7x = +/- √11

Sec: subtract 10 from both sides (when you move a term to the opposite side, always use the opposite sign).

10-10 - 7x = -10 +/- √11
- 7x = -10 +/- √11

Third: isolate "x" - divide both sides by -7.

- 7x/-7 = (-10 +/- √11)/(-7)
x = (-10+/- √11)/(-7)

OR, x = -10/-7+(√11)/(-7)
==> 10/7+(√11)/(-7) & 10/7 - (√11)/(-7)

2007-11-24 13:06:22 · answer #1 · answered by ♪♥Annie♥♪ 6 · 0 0

10-7x = √11
-7x = (√11) -10
x = ((√11)-10)/-7
x = .9547678871

2007-11-24 19:39:37 · answer #2 · answered by Durkle 3 · 0 0

Expand the left side to give 49x^2 -140x + 100 = 11. Subtract 11 from both sides to give 49x^2 - 140x + 89 = 0. You can't factor that mess, so use the quadratic formula to get the two roots.

2007-11-24 19:48:46 · answer #3 · answered by TitoBob 7 · 0 1

Oy, vey!
Well...I would take the square root of both sides of the equation. Then I'd subtract ten from the right side, and divide both sides by seven to get what x equals.
So it should look a little something like:
x=((+/- square root of 11)-10)/7
That might be wrong, though. You might have to factor the lefst side and then solve for x...

2007-11-24 19:38:53 · answer #4 · answered by Adam D 2 · 0 0

(10-7x)=*square root of 11
10-7x=*square root of 11
-7x=*square root of 11-10
divide both sides by -7
x=*square root of 11-10 both over -7

2007-11-24 19:39:02 · answer #5 · answered by tuhaaanee_x3 2 · 0 0

(10 - 7x)^2 = 11
10 -7x = +/- sqrt(11)

10 -7x = sqrt(11) ----> x = (10 -sqrt(11) )/7

10 -7x = -sqrt(11) -----> x = (10 +sqrt(11) )/7

2007-11-24 19:37:56 · answer #6 · answered by Any day 6 · 0 0

1: Distribute 2 into ().
2: subt. 10 from both sides.
3: divide by 7.
4. Solve for X.

2007-11-24 19:38:24 · answer #7 · answered by Anonymous · 0 0

Multiply first
100-140x+49x^2 = 11
Set = 0
49x^2 -140x +89=0
This doesn't look factorable so now you would use the Quadratic formula

2007-11-24 19:39:34 · answer #8 · answered by MollyMAM 6 · 0 1

(10-7x)(10-7x)=11
100-140x+49x^2=11
umm then i dont know . . . .
hold on: ugh sry
then you need the perfect square and then solve, i think their shoudl be two answers

2007-11-24 19:43:04 · answer #9 · answered by Kat 1 · 0 1

i cant write in on the computer but its negative ten plus or minus the square root of eleven all over negative seven

2007-11-24 19:37:28 · answer #10 · answered by bamm0045 1 · 0 0

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