Algebra
Calculus
Trigonometry
Matrix
Question
Solve the quadratic equation
Solve using the quadratic formula
Solve by completing the square
Solve using the PQ formula
x1=−2−25,x2=−2+25
Alternative Form
x1≈−6.472136,x2≈2.472136
Evaluate
x2=16−4x
Move the expression to the left side
x2−16+4x=0
Rewrite in standard form
x2+4x−16=0
Substitute a=1,b=4 and c=−16 into the quadratic formula x=2a−b±b2−4ac
x=2−4±42−4(−16)
Simplify the expression
More Steps
Evaluate
42−4(−16)
Multiply the numbers
More Steps
Evaluate
4(−16)
Multiplying or dividing an odd number of negative terms equals a negative
−4×16
Multiply the numbers
−64
42−(−64)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
42+64
Evaluate the power
16+64
Add the numbers
80
x=2−4±80
Simplify the radical expression
More Steps
Evaluate
80
Write the expression as a product where the root of one of the factors can be evaluated
16×5
Write the number in exponential form with the base of 4
42×5
The root of a product is equal to the product of the roots of each factor
42×5
Reduce the index of the radical and exponent with 2
45
x=2−4±45
Separate the equation into 2 possible cases
x=2−4+45x=2−4−45
Simplify the expression
More Steps
Evaluate
x=2−4+45
Divide the terms
More Steps
Evaluate
2−4+45
Rewrite the expression
22(−2+25)
Reduce the fraction
−2+25
x=−2+25
x=−2+25x=2−4−45
Simplify the expression
More Steps
Evaluate
x=2−4−45
Divide the terms
More Steps
Evaluate
2−4−45
Rewrite the expression
22(−2−25)
Reduce the fraction
−2−25
x=−2−25
x=−2+25x=−2−25
Solution
x1=−2−25,x2=−2+25
Alternative Form
x1≈−6.472136,x2≈2.472136
Show Solution
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