# Quadratic equation + equation - math problems

#### Number of problems found: 290 If 5x + x² > 100, then x is not Product of two numbers is 900. If we increase lowest number by 2 then product will increase by 150. Determine both numbers. By introducing a new variable solve biquadratic equation: ?
• VCP equation Solve the following equation with variations, combinations and permutations: 4 V(2,x)-3 C(2,x+ 1) - x P(2) = 0
• Equation Eequation f(x) = 0 has roots x1 = 64, x2 = 100, x3 = 25, x4 = 49. How many roots have equation f(x2) = 0 ? 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.
• Factors Can the expression ? be factored into rational factors?
• Equation of circle 2 Find the equation of a circle which touches the axis of y at a distance 4 from the origin and cuts off an intercept of length 6 on the axis x.
• Parabola 3 Find the equation of a parabola with its focus at (0,2) and its vertex at the origin. ?
• Roots count Substitute the numbers/0,1,2,3/into the equation as x: (x - 1) (x - 3) (x + 1) = 0 Which of them is its solution? Is there another number that solves this equation?
• Circle From the equation of a circle: ? Calculate the coordinates of the center of the circle S[x0, y0] and radius of the circle r.
• Eq with reciprocal Solve given equation with reciprocal member: a-6/a+10=4/8
• Sphere equation Obtain the equation of sphere its centre on the line 3x+2z=0=4x-5y and passes through the points (0,-2,-4) and (2,-1,1).
• 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.
• Curve and line The equation of a curve C is y=2x² -8x+9 and the equation of a line L is x+ y=3 (1) Find the x co-ordinates of the points of intersection of L and C. (2) Show that one of these points is also the stationary point of C?
• Domains of functions F(x)=x2-7x and g(x)=5-x2 Domain of (fg)(x) is. .. . . Domain of (f/g)(x). ..
• Square Number If to a square of integer number add 17, we get the square of the next integer number. What is the original number? Which of the points belong function f:y= 2x2- 3x + 1 : A(-2, 15) B (3,10) C (1,4) Please determine the solvability conditions of the equation, solve the equation and perform the test: x divided by x squared minus 2x plus1 the whole minus x + 3 divided by x squared minus 1 this is equal to 0: x/(x2-2x+1) - (x+3)/( x2-1) = 0
• Fraction For what x expression ? equals zero?

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