solve 5x square-66x+224=0
Answers
Answer:
Step-by-step explanation:
Simplifying
x2 + -66x + 224 = 0
Reorder the terms:
224 + -66x + x2 = 0
Solving
224 + -66x + x2 = 0
Solving for variable 'x'.
Begin completing the square.
Move the constant term to the right:
Add '-224' to each side of the equation.
224 + -66x + -224 + x2 = 0 + -224
Reorder the terms:
224 + -224 + -66x + x2 = 0 + -224
Combine like terms: 224 + -224 = 0
0 + -66x + x2 = 0 + -224
-66x + x2 = 0 + -224
Combine like terms: 0 + -224 = -224
-66x + x2 = -224
The x term is -66x. Take half its coefficient (-33).
Square it (1089) and add it to both sides.
Add '1089' to each side of the equation.
-66x + 1089 + x2 = -224 + 1089
Reorder the terms:
1089 + -66x + x2 = -224 + 1089
Combine like terms: -224 + 1089 = 865
1089 + -66x + x2 = 865
Factor a perfect square on the left side:
(x + -33)(x + -33) = 865
Calculate the square root of the right side: 29.41088234
Break this problem into two subproblems by setting
(x + -33) equal to 29.41088234 and -29.41088234.
Subproblem 1
x + -33 = 29.41088234
Simplifying
x + -33 = 29.41088234
Reorder the terms:
-33 + x = 29.41088234
Solving
-33 + x = 29.41088234
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '33' to each side of the equation.
-33 + 33 + x = 29.41088234 + 33
Combine like terms: -33 + 33 = 0
0 + x = 29.41088234 + 33
x = 29.41088234 + 33
Combine like terms: 29.41088234 + 33 = 62.41088234
x = 62.41088234
Simplifying
x = 62.41088234
It cannot be solved because b^2 -4ac is less than zero
where b= cofficient of X
a= cofficient of x^2
c= the constant value
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