3x^2 - 14x - 5 =0. Solve the equation by factorisation method , D method and completing the square method.
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SOLUTIONWe have been given
SOLUTIONWe have been given3x2 - 14x - 5 = 0
SOLUTIONWe have been given3x2 - 14x - 5 = 03x2 - 15x + x - 5 = 0
SOLUTIONWe have been given3x2 - 14x - 5 = 03x2 - 15x + x - 5 = 03x(x - 5) + 1(x - 5) = 0
SOLUTIONWe have been given3x2 - 14x - 5 = 03x2 - 15x + x - 5 = 03x(x - 5) + 1(x - 5) = 0(3x + 1)(x - 5) = 0
SOLUTIONWe have been given3x2 - 14x - 5 = 03x2 - 15x + x - 5 = 03x(x - 5) + 1(x - 5) = 0(3x + 1)(x - 5) = 0Therefore,
3x + 1 = 0
3x + 1 = 03x = -1
3x + 1 = 03x = -1x = -1/3
3x + 1 = 03x = -1x = -1/3or,
3x + 1 = 03x = -1x = -1/3or,x - 5 = 0
3x + 1 = 03x = -1x = -1/3or,x - 5 = 0x = 5
3x + 1 = 03x = -1x = -1/3or,x - 5 = 0x = 5Hence, x = -1/3 or x = 5
3x + 1 = 0
3x + 1 = 03x = -1
3x + 1 = 03x = -1x = -1/3
3x + 1 = 03x = -1x = -1/3or,
3x + 1 = 03x = -1x = -1/3or,x - 5 = 0
3x + 1 = 03x = -1x = -1/3or,x - 5 = 0x = 5
3x + 1 = 03x = -1x = -1/3or,x - 5 = 0x = 5Hence, x = -1/3 or x = 5
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