Final answer:
To write a quadratic equation in standard form with the given solution set x = 3/5 and x = 3, we can start by using the fact that the product of the solutions should be equal to the constant term divided by the coefficient of the quadratic term.
Step-by-step explanation:
To write a quadratic equation in standard form with the given solution set x = 3/5 and x = 3, we can start by using the fact that the product of the solutions should be equal to the constant term divided by the coefficient of the quadratic term. Let's assume the quadratic equation is ax^2+bx+c=0.
Given x = 3/5 and x = 3, we can write the equation:
(x-3/5)(x-3) = 0
Expanding this equation, we get:
x^2 - 3x - (3/5)x + 9/5 = 0
Simplifying, we have:
x^2 - (18/5)x + 9/5 = 0
So, the quadratic equation in standard form is:
5x^2 - 18x + 9 = 0