Learn how to find complex solutions of a quadratic equation with these two examples.Example #1: Solve 8x2 + 200 = 0 Subtract 200 from each side of the equation 8x2 + 200 - 200 = 0 - 200 8x2 = -200 Divide each side of the equation by 8...
Integro-differential quadratic equationMeasure of noncompactnessPositive absolute continuous solutionsIn this paper, we study the existence of at least one positive and nondecreasing solution for the initial value problem of a quadratic integro-differential equation by applying the technique of measure of ...
A quadratic equation is a single-variable, second-degree polynomial equation that is typically expressed as follows:ax2+bx+c=0where x is the variable, a,b,c are constants.When graphed, the general form of a quadratic equation corresponds to a parabolic curve. T...
A quadratic equation has the general format ax2+bx+c=0, where a, b, and c are coefficients. Graphically, a quadratic equation corresponds to a parabola. A quadratic equation can have 0 (no real solutions), 1, or 2 solutions.Answer and Explanation: The solutions of a quadratic equation r...
For quadratic equation ax^2+bx+c=0 (a ≠0), its solution(s) can be found using the formula below: 0 2 number of solutions 解的个数 判断二次方程解的个数,我们可以使用求根公式中的b^2-4ac的取值大小来决定,这个表达式我们...
framethequestiondifferently.Insteadofasking,“Whatisaformulaforthesolutionsof aquadraticequation?”weask,“Howcanwesolveaquadraticequation?”Thesecond questioninducesustothinkaboutprocess rather than product, and to consider how we might start. For example, we might ask whether there are quadratic eq...
Recall that the x-intercepts of a function are found by setting the function equal to zero:x2+2x+3=0x2+2x+3=0The function now looks like the type of quadratic equations we have been solving. In the next example, we will solve this equation, then graph the original function and see ...
If x = k be a solution of the quadratic equationx2+4x+3=0, then k = - 1 and View Solution Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Class 9, Class 10, Class 11 and Class 12, IIT JEE prep, NEET preparation...
Construction of a quadratic equation from its solutions We are going to see now the way we can construct a quadratic equation when the solutions are known. Example The solutions of the equationx2+2x−3=0are: x=−2±4+122=−2±42={x1=1x2=−3 ...
Step 1 :Construct the table of values. x –3 –2 –1 0 1 2 3 y 18 8 2 0 2 8 18 Step 2 : Step 3 The properties of quadratic graphsy=ax2 parabolas y ax 2 a≠ y a a a Activity toExplore the Graph of a Quadratic Equation ...