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Honors Trig/PreCalc Test 1

1. 2v² +15v+17=0

a) -15 ± √89⁄4
b) -17 ± √105⁄4
c) no real solution

2. Check for extraneous solutions: (√5-x) +1 = x-2

a) x = -4, -1
b) x = 4
c) x = 4, 1

3. Check for extraneous solutions: x+ (x+5)⁄(x-5) = (2x)⁄(x-5)

a) x = 5, 1
b) x = -5, -1
c) x = 1

Abigail is 6 years older than Jonathan. Six years ago she was twice as old as he. How old is each now? Write the equation and solve for both ages.