CLASS 10 · LEARNING KNOWLEDGE
Quadratic Equations and Intersections
How it works
Intersections are found by equating the function equations. The discriminant determines the number of real solutions. The found x-coordinate is substituted into an original function.
Note
ax²+bx+c=0; D=b²−4ac; x=(−b±√D)/(2a).
ax²+bx+c=0; D=b²−4ac; x=(−b±√D)/(2a).
An example
Determine the larger x-coordinate of the intersection points of y = x² and y = 19x − 88. Provide only the requested number.
Set equal: x²−19x+88=0. Factorize: (x−11)(x−8)=0. Larger solution=11. Result: 11.
Try it yourself now
50 Exercises · three difficulty levels · selection and number input
To the learning unit →Own explanation and own practice exercises by AmyMath. Subject reference framework: KMK Educational Standards Mathematics ESA/MSA. The topic assignment may vary by federal state.