Question

4. Solve the quadratic

a.
C.
e.
equation. Choose two.
-9
x²- 3x = =
-
3+3+√3
-3-3-√3
2
-3+√3
2
b.
-3+34√3
2
d. -3-√3
2
f.
3-3√3
2
Simplify and show your work

Answer 1

a. and f.

Explanation:

this is

x² - 3x = -9

we need to bring it to "= 0".

so,

x² - 3x + 9 = 0

the general solution to such a quadratic equation

ax² + bx + c = 0

is

x = (-b ± sqrt(b² - 4ac))/(2a) =

= (3 ± sqrt((-3)² - 4×1×9))/(2×1) =

= (3 ± sqrt(9 - 36))/2 =

= (3 ± sqrt(-27))/2 = (3 ± sqrt(9×3×-1))/2 =

= (3 ± 3i×sqrt(3))/2

it is a. and f.

the only answers starting with a positive 3 ...