5x(x+2)=3, solve for x using quadratic formula ang give the answer correct to two decimal places
Answers
Answer:
According to me,we cant use quadratic formula because it's not a quadratic equation , it's a linear equation.
This is what I got after solving
Answer:
x = -5-2√10/5, x= -5+2√10/5
Step-by-step explanation:
watch for the UNDERLINE
5x x(x+2)=3
Distribute 5x through the parentheses
5x^2+10x=3
5x^2+10x=3
Move constant to the left and change its sign
5x^2+10x-3=0
5x^2+10x-3=0
solve the quadratic equation
formula = (ax^2+bx+c=0 using
x=b±√b^2-4ac/2a)
x= -10±√10^2-4x5x(-3)/2x5
x= -10±√10^2-4x5x(-3)/2x5
evaluate the power
x= -10±√100-4x5x(-3)/2x5
x= -10±√10^2-4x5x(-3)/2x5
calculate the product
x= -10±√100+60/2x5
x= -10±√10^2-4x5x(-3)/2x5
multiply the numbers
x= -10±√100+60/10
x= -10±√100+60/10
Add the numbers
x= -10±√160/10
x= -10±√160/10
Simplify the radical expression
x= -10±4√10/10
x= -10±4√10/10
Separate the solutions
x= -10+4√10/10
x= -10-4√10/10
Positive
x= -10+4√10/10
simplify the expression
x= -5+2√10/5
Negative
x= -10-4√10/10
simplify the expression
x= -5-2√10/5
x= -5+2√10/5
x= -5-2√10/5
the final solutions are
x = -5-2√10/5, x= -5+2√10/5
alternative form
x ≈ - 2.26491, x ≈ 0.264911
GOT IT?