Before about 1800, most mathematicians would have told you that the quadratic equation with negative discriminant has no solutions. Associated with this point of view, the square root of a negative number has acquired the designation “imaginary.” The sum of a real number with an imaginary is ...
Look at what the graph of a quadratic equation with no real solutions looks like: What is the quadratic formula? The quadratic formula is x =-b +/- sqrt(b^2 - 4ac)/2a. It is a very important formula in mathematics which can be used to find the real (or complex) solutions to any...
Look at what the graph of a quadratic equation with no real solutions looks like: Lesson Summary A quadratic equation is a polynomial equation with degree 2; This means that the highest power of(or the variable used) is 2. Theof a quadratic equation isax2+bx+c=0, wherea/neq0. ...
How do you know if a quadratic equation will have one, two, or no solutions? How do you find a quadratic equation if you are only given the solution? Quadratic Equation The general form of quadratic equation is {eq}ax...
Show Step-by-step Solutions When factoringQuadratic Equations, of the form: ax2* + bx + c* = 0 where *a*, *b* and *c* are numbers and *a* ≠ 0. we try tofind common factors, and then look for patterns that will help you to factorize the quadratic equation. For example:Square...
How is it possible to determine if a quadratic equation will have one, two, or no solutions?Nature of Roots of Quadratic EquationThe discriminant of the quadratic equation can define the nature of the roots of a quadratic equation. The discriminant of the quadratic ...
Advertisement - Continue Reading Below Math A Student Just Proved Time Travel Is Possible Weighing the Kilogram With Gravity Makes Sense Two Teens Proved the Pythagorean Theorem A New Kind of Infinity Just Dropped
5x − 3 = 0 Oops! This one is not a quadratic equation: it is missing x2 (in other words a=0, which means it can't be quadratic)Have a Play With It Play with the Quadratic Equation Explorer so you can see: the function's graph, and the solutions (called "roots").Hidden...
If the solutions of the equation arex1=3,x2=−23the corresponding quadratic equation is: Example If the roots of the equation arex1=0,x2=16the corresponding quadratic equation is: (x−0)(x−16)=x2+16x=0 Reconstruction of the quadratic equation from the sum and product of roots...
How many real solutions does the quadratic equation 3×2-2x=-1 have? The equation is 3×2-2x+1=0 D=b2-4ac D=(-2)2-431 D=4-12 D = -8 Since D < 0, the equation will have no real solution. Is the root of the quadratic equation of x2+x+1 real or imaginary?