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What are you finding when you solve a quadratic equation?
You are finding the roots or solutions. These are the values of the variable such that the quadratic equation is true. In graphical form, they are the values of the x-coordinates where the graph intersects the x-axis.
How do you identify 2 solutions to a linear equation?
A linear equation is that of a straight line. Any one of the infinitely many points on the line will be solutions. If the equation is in terms of the variables x and y, just pick any two values of x, solve for y and the results will be the coordinates of two solutions.
How many number of solutions are there for equation square of mod x minus 3times mod xplus 2 equal zero?
The equation is |x|2-3|x|+2=0 If x>0 then the equation becomes x2-3x+2=0 (x-2)(x-1)=0 x=1,2 We get two values for x. If x<0, then the equation is again x2-3x+2=0 We again get two values. Therefore, the total number of solutions=4.
How do you find 3 different ordered pairs that are solutions of the equation?
Select any three values of x in the domain of the equation. Solve the equation at these three points for the other variable, y. Then each (x, y) will be an ordered pair that is a solution of the equation.
What represents the solutions of a quadratic equation?
A quadratic equation is one that can be written as y=Ax^2+Bx+C. The solutions are the values of x that make y=0. If an equation has solutions, say x=M and x=N, then Ax^2+Bx+C=(x-M)(x-N). For example: y=x^2-5x+6 So we want to find what values of x make the equation true: 0=x^2-5x+6 This happens at x=2, when y=(2)^2-5*(2)+6 =4-10+6 =0 and at x=3, when y=(3)^2-5*(3)+6 =9-15+6 =0 So the solutions are x=2 and x=3, and the equation can be written as y=(x-2)(x-3).
