Ads
related to: quadratic or squared function practice problemskutasoftware.com has been visited by 10K+ users in the past month
Search results
Results from the WOW.Com Content Network
The roots of the quadratic function y = 1 / 2 x 2 − 3x + 5 / 2 are the places where the graph intersects the x-axis, the values x = 1 and x = 5. They can be found via the quadratic formula. In elementary algebra, the quadratic formula is a closed-form expression describing the solutions of a quadratic equation.
For quadratic equations with rational coefficients, if the discriminant is a square number, then the roots are rational—in other cases they may be quadratic irrationals. If the discriminant is zero, then there is exactly one real root − b 2 a , {\displaystyle -{\frac {b}{2a}},} sometimes called a repeated or double root or two equal roots.
The square root of a univariate quadratic function gives rise to one of the four conic sections, almost always either to an ellipse or to a hyperbola. If a > 0 , {\displaystyle a>0,} then the equation y = ± a x 2 + b x + c {\displaystyle y=\pm {\sqrt {ax^{2}+bx+c}}} describes a hyperbola, as can be seen by squaring both sides.
Animation depicting the process of completing the square. (Details, animated GIF version)In elementary algebra, completing the square is a technique for converting a quadratic polynomial of the form + + to the form + for some values of and . [1]
Square root of two; Quadratic irrational; Integer square root; Algebraic number. Pisot–Vijayaraghavan number; Salem number; Transcendental number. e (mathematical constant) pi, list of topics related to pi; Squaring the circle; Proof that e is irrational; Lindemann–Weierstrass theorem; Hilbert's seventh problem; Gelfond–Schneider theorem ...
This problem is related to the problem of finding Pythagorean triples, which appeared in the second millennium BCE. [ 3 ] In 628, the Indian mathematician Brahmagupta wrote Brāhmasphuṭasiddhānta , which includes, among many other things, a study of equations of the form x 2 − ny 2 = c .
Ads
related to: quadratic or squared function practice problemskutasoftware.com has been visited by 10K+ users in the past month