MATH SOLVE

3 months ago

Q:
# Using the quadratic formula to solve 2x^2 = 4x - 7, what are the values of x?

Accepted Solution

A:

Answer:Step-by-step explanation:To use the quadratic formula, we must write the quadratic in standard form, viz:2x^2 - 4x + 7 = 0Start by calculating the discriminant. That's b^2 - 4(a)(c). Here,a = 2, b = -4 and c = 7, and so the discriminant for this particular problem is(-4)^2 - 4(2)(7), or 16 - 56, or 40.Recall that a positive discriminant indicates two real, unequal roots.Now we write out the whole quadratic formula, with the appropriate constants inserted (see above): -(-4) ± √40 4 ± (√4)(√10) 4 ± 2√10x = --------------------- = ---------------------- = --------------- 2(2) 4 4 2 ± √10which reduces to x = -------------- 2