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What are the values of k when the line of y equals kx -2 is a tangent to the curve of y equals x squared -8x plus 7?
If: y = kx -2 and y = x^2 -8x+7 Then the values of k work out as -2 and -14 Note that the line makes contact with the curve in a positive direction or a negative direction depending on what value is used for k.
What is the value of k when the equation x squared plus 2kx plus 10x plus k squared plus 5 equals 0 has equal roots?
Using the discriminant of b^2 -4ac = 0 the value of k works out as -2
What s the value of k when the equation x squared plus 2kx plus 10x plus k squared plus 5 equals 0 has equal roots?
Equation: x^2 +2kx +10x +k^2 +5 = 0 Using the discriminant: (2k +10)^2 -4*1*(k^2 +5) = 0 Multiplying out the brackets: 4k^2 +40K +100 -4k^2 -20 = 0 Collecting like terms: 40k +80 = 0 => 40k = -80 => k = -80/40 Therefore the value of k = -2
What is the answer to 3k plus 14 equals k?
==> 3k+14=k ==>3k-k=-14 ==>2k=-14 ==>k=-7 ans...
Find the remainder when f of x is divided by x - k and ƒ of x equals 2x3 plus 3x2 plus 4x plus 18 and k equals -2?
Find the remainder when f(x) is divided by (x - k) ƒ(x) = 2x3 + 3x2 + 4x + 18; k = -2 (x - k) = (x - (-2)) = (x + 2) x + 2 = 0 x = -2 By Remainder Theorem ƒ(x) = 2x3 + 3x2 + 4x + 18 ƒ(-2) = 2(-2)3 + 3(-2)2 +4(-2) + 18 = 2(-8) + 3(4) + 4(-2) +18 = -16 + 12 -8 +18 = 6 Thus, the remainder is 6
