Answer:
A)one solution (3, -3)
B)no solution
C)infinite solution
Step-by-step explanation:
A) The two equations intersect at a point. This point satisfies both equations.
B) The two equations are parallel and never intersect. Therefore no solution.
C) The two equations are stacked on top of one another. No matter with point of the like is chosen, the point will satisfy both equations.
The distributive property lets you expand the product as

Answer:
- top: no solution
- bottom: x = 7
Step-by-step explanation:
I find a graphing calculator very helpful to solving radical equations. It helps avoid extraneous solutions.
<u>top</u>
√(-14x +2) = x -3
-14x +2 = x² -6x +9 . . . . . square both sides
x² +8x +7 = 0 . . . . . . . . . .subtract the left side
Descartes' rule of signs tells you this has no positive real solutions. (There are no sign changes among the coefficients.) The value of the radical will be non-negative, so we must have x-3≥0, or x≥3. Since there are no positive real solutions to the quadratic, there are no values of x≥3 that will satisfy the equation. NO SOLUTION
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<u>bottom</u>
4√(x -3) = 8 . . . . . given
√(x -3) = 2 . . . . . . divide by 4
x -3 = 4 . . . . . . . . . square both sides
x = 7 . . . . . . . . . . . add 3