# 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?

(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?

**Correct result:****Showing 0 comments:**

Tips to related online calculators

For Basic calculations in analytic geometry is a helpful line slope calculator. From coordinates of two points in the plane it calculate slope, normal and parametric line equation(s), slope, directional angle, direction vector, the length of segment, intersections the coordinate axes etc.

Looking for help with calculating roots of a quadratic equation?

Looking for help with calculating roots of a quadratic equation?

#### You need to know the following knowledge to solve this word math problem:

## Related math problems and questions:

- Prove

Prove that k1 and k2 are the equations of two circles. Find the equation of the line that passes through the centers of these circles. k1: x^{2}+y^{2}+2x+4y+1=0 k2: x^{2}+y^{2}-8x+6y+9=0 - Intersections 3

Find the intersections of the circles x^{2}+ y^{2}+ 6 x - 10 y + 9 = 0 and x^{2}+ y^{2}+ 18 x + 4 y + 21 = 0 - Quadratic function 2

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

Find the tangent line of the ellipse 9 x^{2}+ 16 y^{2}= 144 that has the slope k = -1 - The angle of lines

Calculate the angle of two lines y=x-21 and y=-2x+14 - Sphere from tree points

Equation of sphere with three point (a,0,0), (0, a,0), (0,0, a) and center lies on plane x+y+z=a - 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). - 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] . - Three points 4

The line passed through three points - see table: x y -6 4 -4 3 -2 2 Write line equation in y=mx+b form - Non linear eqs

Solve the system of non-linear equations: 3x^{2}-3x-y=-2 -6x^{2}-x-y=-7 - Linear system

Solve a set of two equations of two unknowns: 1.5x+1.2y=0.6 0.8x-0.2y=2 - Functions f,g

Find g(1) if g(x) = 3x - x^{2}Find f(5) if f(x) = x + 1/2 - Algebra

If x+y=5, find xy (find the product of x and y if x+y = 5) - Find x 2

Find x, y, and z such that x³+y³+z³=k, for each k from 1 to 100. Write down the number of solutions. - General line equations

In all examples, write the GENERAL EQUATION OF a line that is given in some way. A) the line is given parametrically: x = - 4 + 2p, y = 2 - 3p B) the line is given by the slope form: y = 3x - 1 C) the line is given by two points: A [3; -3], B [-5; 2] D) t - Points collinear

Show that the point A(-1,3), B(3,2), C(11,0) are col-linear. - Linsys2

Solve two equations with two unknowns: 400x+120y=147.2 350x+200y=144