Question
Solve the quadratic equation
Solve using the quadratic formula
Solve by completing the square
Solve using the PQ formula
x1=23−3901,x2=23+3901
Alternative Form
x1≈−43.524993,x2≈46.524993
Evaluate
x2−3x−2025=0
Substitute a=1,b=−3 and c=−2025 into the quadratic formula x=2a−b±b2−4ac
x=23±(−3)2−4(−2025)
Simplify the expression
More Steps

Evaluate
(−3)2−4(−2025)
Multiply the numbers
More Steps

Evaluate
4(−2025)
Multiplying or dividing an odd number of negative terms equals a negative
−4×2025
Multiply the numbers
−8100
(−3)2−(−8100)
Rewrite the expression
32−(−8100)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
32+8100
Evaluate the power
9+8100
Add the numbers
8109
x=23±8109
Simplify the radical expression
More Steps

Evaluate
8109
Write the expression as a product where the root of one of the factors can be evaluated
9×901
Write the number in exponential form with the base of 3
32×901
The root of a product is equal to the product of the roots of each factor
32×901
Reduce the index of the radical and exponent with 2
3901
x=23±3901
Separate the equation into 2 possible cases
x=23+3901x=23−3901
Solution
x1=23−3901,x2=23+3901
Alternative Form
x1≈−43.524993,x2≈46.524993
Show Solution
