# 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)= 4x^{2}+ 20, what is k(10)=? - Quadratic function 2

Which of the points belong function f:y= 2x^{2}- 3x + 1 : A(-2, 15) B (3,10) C (1,4) - Quadratic function

Write the equation of the quadratic function which includes points A (-1, 10), B (2, 19), C (1,4) - Quadratic function

It is given a quadratic function y = -4x^{2}+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 x_{1}= 64, x_{2}= 100, x_{3}= 25, x_{4}= 49. How many roots have equation f(x^{2}) = 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)=x^{2}-7x and g(x)=5-x^{2}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: (x^{2}+1)/(x-4) + (x^{2}-1)/(x+3) = 23 - Tangents to ellipse

Find the magnitude of the angle at which the ellipse x^{2}+ 5 y^{2}= 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 x^{2}+ 16 y^{2}= 144 that has the slope k = -1

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