Hi i need help on this equation.
5x^2-3x+9 when x= -11/5
5(-11/5)^2 - 3(-11/5) + 9
5(121/25) + 33/5 + 9
605/25 + 165/25 + 225/25
995/25
Omg thank u so much. I got the same answer u got earlier but in the answer sheet i guess it was wrong.
To find the value of the expression 5x^2 - 3x + 9 when x = -11/5, you simply need to substitute -11/5 in place of x in the equation and perform the arithmetic calculations.
Let's substitute x = -11/5 into the equation:
5(-11/5)^2 - 3(-11/5) + 9
First, simplify the exponent:
5(121/25) - 3(-11/5) + 9
Next, multiply:
605/25 + 33/5 + 9
To combine the fractions, find a common denominator:
605/25 + (33/5)(5/5) + 9(25/25)
Now, convert each fraction so they all have the same denominator:
605/25 + 165/25 + 225/25
Combine the numerators:
(605 + 165 + 225)/25
Simplify the numerator:
995/25
Finally, divide the numerator by the denominator:
995 ÷ 25 = 39.8
Therefore, when x = -11/5, the value of the expression 5x^2 - 3x + 9 is approximately equal to 39.8.