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What is the quadratic equation for solutions -11 and 6?
(x+11)(x-6) x^2 + 5x - 66 = 0
What two number have the product of 121 and the sum of 22?
11 and 11. In general, you can write an equation (or two equations), and solve with the quadratic formula, to solve this type of questions.
How do you sovle f(x)x2-9?
11
What is the tangent equation for 2x3-3x2-8x plus 9 when x equals 2?
The tangent to 2x3 - 3x2 - 8x + 9 at x = 2 is y = 4x - 11 The tangent to y = 2x3 - 3x2 - 8x + 9 at x = 2 has the same gradient as the curve at that point; to find the gradient, differentiate: dy/dx = 6x2 - 6x - 8 which at x = 2 is: gradient = 6 x 22 - 6 x 2 - 8 = 4 At x = 2, y = 2 x 23 - 3 x 22 - 8 x 2 + 9 = -3 The equation of a line through point (xo, yo) with gradient m is: y - yo = m(x - xo) Thus the equation of the tangent to the line at x = 2 is: y - -3 = 4(x - 2) ⇒ y = 4x - 11
What does it mean to be a solution of an equation?
the solution is the answer to the equation. A solution is any value that makes the equation true. x + 2 = 10 has exactly one solution ....x=8 x + 2 > 10 has infinitely many solutions....x=9 or 10 or 11 or 12 or 13, etc
