solve this Equation plzz
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answer will be in points if we apply -b+or- under root b×b -4ac /2a we get 5 +or-under root 265/2
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Simplifying
x2 + -5x = 60
Reorder the terms: -5x + x2 = 60
Solving -5x + x2 = 60
Solving for variable 'x'.
Reorder the terms: -60 + -5x + x2 = 60 + -60
Combine like terms: 60 + -60 = 0 -60 + -5x + x2 = 0
Begin completing the square. Move the constant term to the right:
Add '60' to each side of the equation. -60 + -5x + 60 + x2 = 0 + 60
Reorder the terms: -60 + 60 + -5x + x2 = 0 + 60
Combine like terms: -60 + 60 = 0 0 + -5x + x2 = 0 + 60 -5x + x2 = 0 + 60 Combine like terms: 0 + 60 = 60 -5x + x2 = 60
The x term is -5x. Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5x + 6.25 + x2 = 60 + 6.25
Reorder the terms: 6.25 + -5x + x2 = 60 + 6.25
Combine like terms: 60 + 6.25 = 66.25 6.25 + -5x + x2 = 66.25 Factor a perfect square on the left side: (x + -2.5)(x + -2.5) = 66.25
calculate the square root of the right side: 8.139410298
Break this problem into two subproblems by setting (x + -2.5) equal to 8.139410298 and -8.139410298.
Subproblem 1x + -2.5 = 8.139410298 Simplifying x + -2.5 = 8.139410298 Reorder the terms: -2.5 + x = 8.139410298 Solving -2.5 + x = 8.139410298 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right.
Add '2.5' to each side of the equation. -2.5 + 2.5 + x = 8.139410298 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + x = 8.139410298 + 2.5 x = 8.139410298 + 2.5
Combine like terms: 8.139410298 + 2.5 = 10.639410298 x = 10.639410298 Simplifying x = 10.639410298 Subproblem 2x + -2.5 = -8.139410298 Simplifying x + -2.5 = -8.139410298
Reorder the terms: -2.5 + x = -8.139410298
Solving -2.5 + x = -8.139410298 Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '2.5' to each side of the equation. -2.5 + 2.5 + x = -8.139410298 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + x = -8.139410298 + 2.5 x = -8.139410298 + 2.5
Combine like terms: -8.139410298 + 2.5 = -5.639410298 x = -5.639410298 Simplifying x = -5.639410298 Solution
the solution to the problem is based on the solutions from the subproblems. x = {10.639410298, -5.639410298}
Reorder the terms: -5x + x2 = 60
Solving -5x + x2 = 60
Solving for variable 'x'.
Reorder the terms: -60 + -5x + x2 = 60 + -60
Combine like terms: 60 + -60 = 0 -60 + -5x + x2 = 0
Begin completing the square. Move the constant term to the right:
Add '60' to each side of the equation. -60 + -5x + 60 + x2 = 0 + 60
Reorder the terms: -60 + 60 + -5x + x2 = 0 + 60
Combine like terms: -60 + 60 = 0 0 + -5x + x2 = 0 + 60 -5x + x2 = 0 + 60 Combine like terms: 0 + 60 = 60 -5x + x2 = 60
The x term is -5x. Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5x + 6.25 + x2 = 60 + 6.25
Reorder the terms: 6.25 + -5x + x2 = 60 + 6.25
Combine like terms: 60 + 6.25 = 66.25 6.25 + -5x + x2 = 66.25 Factor a perfect square on the left side: (x + -2.5)(x + -2.5) = 66.25
calculate the square root of the right side: 8.139410298
Break this problem into two subproblems by setting (x + -2.5) equal to 8.139410298 and -8.139410298.
Subproblem 1x + -2.5 = 8.139410298 Simplifying x + -2.5 = 8.139410298 Reorder the terms: -2.5 + x = 8.139410298 Solving -2.5 + x = 8.139410298 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right.
Add '2.5' to each side of the equation. -2.5 + 2.5 + x = 8.139410298 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + x = 8.139410298 + 2.5 x = 8.139410298 + 2.5
Combine like terms: 8.139410298 + 2.5 = 10.639410298 x = 10.639410298 Simplifying x = 10.639410298 Subproblem 2x + -2.5 = -8.139410298 Simplifying x + -2.5 = -8.139410298
Reorder the terms: -2.5 + x = -8.139410298
Solving -2.5 + x = -8.139410298 Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '2.5' to each side of the equation. -2.5 + 2.5 + x = -8.139410298 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + x = -8.139410298 + 2.5 x = -8.139410298 + 2.5
Combine like terms: -8.139410298 + 2.5 = -5.639410298 x = -5.639410298 Simplifying x = -5.639410298 Solution
the solution to the problem is based on the solutions from the subproblems. x = {10.639410298, -5.639410298}
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