# Quadratic equation + functions - math problems

#### Number of problems found: 13

• Reciprocal value How do I calculate a number x that is 9 greater than its reciprocal (1/x)?
• Expressions 3 If k(x+6)= 4x2 + 20, what is k(10)=? Which of the points belong function f:y= 2x2- 3x + 1 : A(-2, 15) B (3,10) C (1,4) Write the equation of the quadratic function which includes points A (-1, 10), B (2, 19), C (1,4) It is given a quadratic function y = -4x2+5x+c with unknown coefficient c. Determine the smallest integer c for which the graph of f intersects the x-axis at two different points.
• Equation Eequation f(x) = 0 has roots x1 = 64, x2 = 100, x3 = 25, x4 = 49. How many roots have equation f(x2) = 0 ?
• Roots and coefficient In the equation 2x ^ 2 + bx-9 = 0 is one root x1 = -3/2. Determine the second root and the coefficient b.
• Domains of functions F(x)=x2-7x and g(x)=5-x2 Domain of (fg)(x) is. .. . . Domain of (f/g)(x). ..
• Derivative problem The sum of two numbers is 12. Find these numbers if: a) The sum of their third powers is minimal. b) The product of one with the cube of the other is maximal. c) Both are positive and the product of one with the other power of the other is maximal.
• Eq2 2 Solve following equation with quadratic members and rational function: (x2+1)/(x-4) + (x2-1)/(x+3) = 23
• Tangents to ellipse Find the magnitude of the angle at which the ellipse x2 + 5 y2 = 5 is visible from the point P[5, 1] .
• Function 3 Function f(x)=a(x-r)(x-s) the graph of the function has x- intercept at (-4, 0) and (2, 0) and passes through the point (-2,-8). Find constant a, r, s.
• Find the 15 Find the tangent line of the ellipse 9 x2 + 16 y2 = 144 that has the slope k = -1

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