Question

Y2 = 21 – x x = 5

The solutions to the system of equation above are (a1, b1) and (a2, b2). What are the values of b1 and b2 ?

Answers
A: -5 and 5
B: 4.58 and 5.09
C: undefined and 4.58
D: -4 and 4

Answer 1

D. -4 and 4

Explanation:

You want the y-coordinates of the solutions to the system ...

• y² = 21 -x
• x = 5

Solutions

Substituting the given value of x into the first equation gives ...

y² = 16

y = ±√16 = ±4 . . . . . . take the square root

The values of b1 and b2 are -4 and 4.

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