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2 years ago

PLS HELP any hints appericated(40 Points)

Mathematics

1 answer:

Viefleur [7K]2 years ago

3 0

Answer:

See below

Step-by-step explanation:

1) Solve the equation: [4ax - (a + b)](a + b) = 0, where a and b are constants.

if a + b = 0, then x has infinitely many solutions

4ax = a + b
x = (a + b)/4a, a≠0

2) Solve the equation m²x + 1 = m(x + 1), where m is a parameter.

m²x + 1 - mx - m = 0
(m²- m)x = m - 1
m(m - 1)x = m - 1
mx = 1
x = 1/m, m≠0

3) Given that the equation a(2x - 1) = 3x - 3 has no solution, find the value of the parameter a.

a(2x - 1) = 3x - 3
2ax - a = 3x - 3
2ax - 3x = a - 3
(2a - 3)x = a - 3
x = (a - 3)/(2a - 3)

The equation has no solution if:

2a - 3 = 0
2a = 3
a = 1.5

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