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=−55+210,x2=5−5+210
Alternative Form
x1≈−2.264911,x2≈0.264911
Evaluate
5x(x+2)=3
Expand the expression
More Steps
Evaluate
5x(x+2)
Apply the distributive property
5x×x+5x×2
Multiply the terms
5x2+5x×2
Multiply the numbers
5x2+10x
5x2+10x=3
Move the expression to the left side
5x2+10x−3=0
Substitute a=5,b=10 and c=−3 into the quadratic formula x=2a−b±b2−4ac
x=2×5−10±102−4×5(−3)
Simplify the expression
x=10−10±102−4×5(−3)
Simplify the expression
More Steps
Evaluate
102−4×5(−3)
Multiply
More Steps
Multiply the terms
4×5(−3)
Rewrite the expression
−4×5×3
Multiply the terms
−60
102−(−60)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
102+60
Evaluate the power
100+60
Add the numbers
160
x=10−10±160
Simplify the radical expression
More Steps
Evaluate
160
Write the expression as a product where the root of one of the factors can be evaluated
16×10
Write the number in exponential form with the base of 4
42×10
The root of a product is equal to the product of the roots of each factor
42×10
Reduce the index of the radical and exponent with 2
410
x=10−10±410
Separate the equation into 2 possible cases
x=10−10+410x=10−10−410
Simplify the expression
More Steps
Evaluate
x=10−10+410
Divide the terms
More Steps
Evaluate
10−10+410
Rewrite the expression
102(−5+210)
Cancel out the common factor 2
5−5+210
x=5−5+210
x=5−5+210x=10−10−410
Simplify the expression
More Steps
Evaluate
x=10−10−410
Divide the terms
More Steps
Evaluate
10−10−410
Rewrite the expression
102(−5−210)
Cancel out the common factor 2
5−5−210
Use b−a=−ba=−ba to rewrite the fraction
−55+210
x=−55+210
x=5−5+210x=−55+210
Solution
x1=−55+210,x2=5−5+210
Alternative Form
x1≈−2.264911,x2≈0.264911
Show Solution
Graph
