Quadratic equation whose roots are 5 and -5 with coefficient 3
using the letter x to represent the variable
please show steps
follow the same steps that I showed you in your previous post of the identical type of question.
It appears you never even looked at it.
To find the quadratic equation with roots 5 and -5 using the coefficient 3, we can use the fact that the quadratic equation is given by:
(x - root1) * (x - root2) = 0
In this case, root1 is 5 and root2 is -5. Substituting these values, we have:
(x - 5) * (x - (-5)) = 0
Simplifying, we get:
(x - 5) * (x + 5) = 0
Expanding the brackets:
x^2 - 5x + 5x - 25 = 0
Simplifying further:
x^2 - 25 = 0
Finally, if we want to include the coefficient 3, we can simply multiply the equation by 3:
3(x^2 - 25) = 0
So, the quadratic equation with roots 5 and -5 and coefficient 3 is:
3x^2 - 75 = 0