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=23−19,x2=23+19
Alternative Form
x1≈−0.679449,x2≈3.679449
Evaluate
2x2−6x−5=0×Jie
Any expression multiplied by 0 equals 0
2x2−6x−5=0
Substitute a=2,b=−6 and c=−5 into the quadratic formula x=2a−b±b2−4ac
x=2×26±(−6)2−4×2(−5)
Simplify the expression
x=46±(−6)2−4×2(−5)
Simplify the expression
More Steps
Evaluate
(−6)2−4×2(−5)
Multiply
More Steps
Multiply the terms
4×2(−5)
Rewrite the expression
−4×2×5
Multiply the terms
−40
(−6)2−(−40)
Rewrite the expression
62−(−40)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
62+40
Evaluate the power
36+40
Add the numbers
76
x=46±76
Simplify the radical expression
More Steps
Evaluate
76
Write the expression as a product where the root of one of the factors can be evaluated
4×19
Write the number in exponential form with the base of 2
22×19
The root of a product is equal to the product of the roots of each factor
22×19
Reduce the index of the radical and exponent with 2
219
x=46±219
Separate the equation into 2 possible cases
x=46+219x=46−219
Simplify the expression
More Steps
Evaluate
x=46+219
Divide the terms
More Steps
Evaluate
46+219
Rewrite the expression
42(3+19)
Cancel out the common factor 2
23+19
x=23+19
x=23+19x=46−219
Simplify the expression
More Steps
Evaluate
x=46−219
Divide the terms
More Steps
Evaluate
46−219
Rewrite the expression
42(3−19)
Cancel out the common factor 2
23−19
x=23−19
x=23+19x=23−19
Solution
x1=23−19,x2=23+19
Alternative Form
x1≈−0.679449,x2≈3.679449
Show Solution
