Question

Why is the answer to this C and not E. Don’t you usually keep the negative number negative? Why is this one not left negative?

Answer 1

C

Explanation:

Given

x² = 7x - 3 ( subtract 7x - 3 from both sides )

x² - 7x + 3 = 0 ← in standard form

with a = 1, b = - 7, c = 3

Using the quadratic formula to solve for x

x = ( - (- 7) ±
`√((-7)^2-(4(1)(3))` ) / 2

= ( 7 ±
`√(49-12)` ) / 2

=
`(7+/-√(37) )/(2)` → C