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Use the quadratic formula to find the solutions to the equation.
3x^2-10x+5=0

User Bogs
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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:

  1. Identify a, b, and c from the equation. Here, a = 3, b = -10, and c = 5.
  2. Calculate the discriminant √(b^2-4ac), which is √((-10)^2-4*3*5) = √(100-60) = √40.
  3. Substitute a, b, and the discriminant into the quadratic formula:

x = (10 ± √40) / 6

This will give us the two solutions for x.

User Alekzander
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