Algebra Problems: Part 1
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Question
- For what value of the constant K does the equation 2x + K x = 3 have one solution?.
- For what value of the constant K does the equation K x2 + 2x = 1 have two real solutions?
- For what value of the constant K does the system of equations 2x - y = 4 and 6x - 3y = 3K have an infinite number of solutions?
- Find Y so that the points A(0 , 0), B(2 , 2) and C(-4 , Y) are the vertices of a right triangle with hypotenuse AC.
- Find M so that the lines with equations -2x + My = 5 and 4y + x = -9 are perpendicular.
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