Question
Solve the quadratic equation
Solve using the quadratic formula
Solve by completing the square
Solve using the PQ formula
x1=368103−143089,x2=368103+143089
Alternative Form
x1≈−0.748019,x2≈1.307802
Evaluate
x×184x−94x−9x=180
Simplify
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Evaluate
x×184x−94x−9x
Multiply
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Multiply the terms
x×184x
Multiply the terms
x2×184
Use the commutative property to reorder the terms
184x2
184x2−94x−9x
Subtract the terms
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Evaluate
−94x−9x
Collect like terms by calculating the sum or difference of their coefficients
(−94−9)x
Subtract the numbers
−103x
184x2−103x
184x2−103x=180
Move the expression to the left side
184x2−103x−180=0
Substitute a=184,b=−103 and c=−180 into the quadratic formula x=2a−b±b2−4ac
x=2×184103±(−103)2−4×184(−180)
Simplify the expression
x=368103±(−103)2−4×184(−180)
Simplify the expression
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Evaluate
(−103)2−4×184(−180)
Multiply
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Multiply the terms
4×184(−180)
Rewrite the expression
−4×184×180
Multiply the terms
−132480
(−103)2−(−132480)
Rewrite the expression
1032−(−132480)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
1032+132480
Evaluate the power
10609+132480
Add the numbers
143089
x=368103±143089
Separate the equation into 2 possible cases
x=368103+143089x=368103−143089
Solution
x1=368103−143089,x2=368103+143089
Alternative Form
x1≈−0.748019,x2≈1.307802
Show Solution
