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