Final answer:
To solve the equation 3x^2-10x+5=0 using the quadratic formula, we identify the coefficients a=3, b=-10, and c=5 and substitute them into the formula x=(-b ± √(b^2-4ac))/(2a) to find the two solutions for x.
Step-by-step explanation:
The student has asked how to find solutions to the quadratic equation 3x^2-10x+5=0 using the quadratic formula. The general form of a quadratic equation is ax^2+bx+c=0, and the quadratic formula to find solutions x is given by:
x = (-b ± √(b^2-4ac))/(2a)
Let's apply this formula to the given equation:
- Identify a, b, and c from the equation. Here, a = 3, b = -10, and c = 5.
- Calculate the discriminant √(b^2-4ac), which is √((-10)^2-4*3*5) = √(100-60) = √40.
- Substitute a, b, and the discriminant into the quadratic formula:
x = (10 ± √40) / 6
This will give us the two solutions for x.