1001 Algebra Problems.PDF

642. c.Isolate the squared expression on one side,
     take the square root of both sides, and solve
     forx:

–3x^2 = –9

x^2 = 3

x= ± 3 

643. b.Take the square root of both sides, and solve
     forx:

(4x+ 5)x^2 = –49

4 x+ 5 = ±–49= ±7i

4 x= –5 ± 7i

x=

644. c.Take the square root of both sides, and solve
     forx:

(3x– 8)^2 = 45

3 x– 8 = ± 45 

3 x= 8 ± 45 

x= =

645. c.Isolate the squared expression on one side,
     take the square root of both sides, and solve
     forx:

(–2x+ 1)^2 – 50 = 0

(–2x+ 1)^2 = 50

–2x+ 1 = ± 50 

–2x= –1 ± 50 

x= = =

646. b.Isolate the squared expression on one side,
     take the square root of both sides, and solve
     forx:

–(1 – 4x)^2 –121 = 0

(1 – 4x)^2 = –121

1 – 4x= ±–121

–4x= –1 ±–121

x= = =

647. a.To solve the given equation graphically, let y 1
     = 5x^2 – 24,y 2 = 0. Graph these on the same set
     of axes and identify the points of intersection:

The x-coordinates of the points of intersection

are the solutions of the original equation. We

conclude that the solutions are approximately

±2.191.

648. d.To solve the equation graphically, let y 1 = 2x^2 ,
     y 2 = –5x– 4. Graph these on the same set of
     axes and identify the points of intersection:

The x-coordinates of the points of intersection

are the solutions of the original equation. Since

the curves do not intersect, the solutions are

imaginary.

y 2 y^1

–5 –4 –3 –2 –1 1 2 3 4 5

–2

–4

–6

–8

–10

10

8

6

4

2

y^1

–4–3–2–1 1 2 3 4 y^2

–3

–6

–9

–12

–15

–18

–21

–24

9

6

3

1 ±11i

4

1 ±–121

4

–1 ±–121

–4

1 ±5^2 

2

1 ±^50 

2

–1 ±^50 

–2

8 ±3^5 

3

8 ±^45 

3

–5 ±7i

4

ANSWERS & EXPLANATIONS–