Tuesday
May 21, 2013

# Homework Help: Algebra 2

Posted by Robert on Friday, November 16, 2012 at 12:46pm.

12. Use the quadratic formula to solve the equation. 4x2–6x–10=0

13. Simplify the number using the imaginary unit i. Square root of -16

14. Simplify the expression. -5+i/2i

15. What is the solution of the linear-quadratic system of equations?
y=x^2+5x-3
y-x=2

• Algebra 2 - Steve, Friday, November 16, 2012 at 2:32pm

#12 just plug in the numbers
x = (6±√(36+160))/8
= (6±14)/8
= 6/8 + 14/8 or 6/8 - 14/8
= 5/2 or -1

#13
√-16 = √(16 * -1) = √16√-1 = 4i

#14
since i*i = -1, 1/i = -i
(-5+i)/2i = -5/2i + i/2i = 5/2 i + 1/2
or, in standard form, 1/2 + 5/2 i

#15
looking at the 2nd equation, y = x+2, so
x+2 = x^2+5x-3
x^2 + 4x - 5 = 0
(x+5)(x-1) = 0
x = -5 or 1
so, y = -3 or 3
the solutions are thus (-5,-3)(1,3)

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