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How can you tell if a equation is conditional inconsistent or identity?
3x2 -12x+24=-10x-20-3x2+6
What are the roots of the equation 3X2-X 20?
3x^2 - x + 20 = 0 doesn't factor neatly. Using the quadratic formula, we find two complex roots with imaginary solutions.(1 plus the square root of -239) divided by 6(1 minus the square root of -239) divided by 6x = 0.16666 repeating + 2.576604138956718ix = 0.16666 repeating - 2.576604138956718iwhere i is the square root of negative one.
How would you work out the possible values of k in the line y equals kx plus 1 which is tangent to the curve of y equals 3x squared -4x plus 4?
If: y = kx+1 and y = 3x2-4x+4 Then: 3x2-4x+4 = kx+1 So: 3x2-4x-kx+3 = 0 For the line to be tangent to the curve the discriminant of b2-4ac must = 0 So when: -4*3*3 = -36 then (-4-k)2 must = 36 So it follows: (-4-k)(-4-k) = 36 => k2+8k-20 = 0 Solving the quadratic equation: k = 2 or k = -10
How do you solve 12x2-77x-20 equals 0 using quadratic formula?
-- First, write the quadratic formula on the back of your hand:x = 1/2A [ -B ± sqrt(B2 - 4AC) ]-- Then, stare at your equation until it dawns on you thatA = 12B = -77C = -20-- Substitute these values of 'A', 'B', and 'C' into the quadratic formula,evaluate it for the two values of 'x', and the two solutions practicallyfall out on the floor and surrender, on their own.
What are the first 20 square numbers?
They are 1*1, 2*2, 3*3 and so on, until 20*20. Use a calculator to work out the values.
