Answer:
Step-by-step explanation:
To use the quadratic formula, we must write the quadratic in standard form, viz:
2x^2 - 4x + 7 = 0
Start 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√10
x = --------------------- = ---------------------- = ---------------
2(2) 4 4
2 ± √10
which reduces to x = --------------
2
