Solve for h 1100 = square root of 9879h+h^2

Math
1100=9879h+h2
Rewrite the equation as 9879h+h2=1100.
9879h+h2=1100
To remove the radical on the left side of the equation, square both sides of the equation.
9879h+h22=11002
Simplify each side of the equation.
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Multiply the exponents in ((9879h+h2)12)2.
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Apply the power rule and multiply exponents, (am)n=amn.
(9879h+h2)12⋅2=11002
Cancel the common factor of 2.
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Cancel the common factor.
(9879h+h2)12⋅2=11002
Rewrite the expression.
(9879h+h2)1=11002
(9879h+h2)1=11002
(9879h+h2)1=11002
Simplify.
9879h+h2=11002
Raise 1100 to the power of 2.
9879h+h2=1210000
9879h+h2=1210000
Solve for h.
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Move 1210000 to the left side of the equation by subtracting it from both sides.
9879h+h2-1210000=0
Factor the left side of the equation.
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Let u=h. Substitute u for all occurrences of h.
9879u+u2-1210000
Factor 9879u+u2-1210000 using the AC method.
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Consider the form x2+bx+c. Find a pair of integers whose product is c and whose sum is b. In this case, whose product is -1210000 and whose sum is 9879.
-121,10000
Write the factored form using these integers.
(u-121)(u+10000)
(u-121)(u+10000)
Replace all occurrences of u with h.
(h-121)(h+10000)
Replace the left side with the factored expression.
(h-121)(h+10000)=0
(h-121)(h+10000)=0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
h-121=0
h+10000=0
Set the first factor equal to 0 and solve.
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Set the first factor equal to 0.
h-121=0
Add 121 to both sides of the equation.
h=121
h=121
Set the next factor equal to 0 and solve.
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Set the next factor equal to 0.
h+10000=0
Subtract 10000 from both sides of the equation.
h=-10000
h=-10000
The final solution is all the values that make (h-121)(h+10000)=0 true.
h=121,-10000
h=121,-10000
Solve for h 1100 = square root of 9879h+h^2

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