0
There are 2 (main) ways you can find the solution to a quadratic equation:
- Factorisation: If you take, for example, the equation (x-3)(x-2) = 0. Either (x-3) or (x-2) must equal 0 for the equation to be true: you then have x-3 = 0 (i.e. x = 3) and x-2 = 0 (i.e. x = 2). These are your solutions to the equation. If you have an equation in the form (say) x2+x-12 = 0, you can find that this is equivalent to (x-3)(x+4) = 0, so x = 3 or x = -4.
- The magic formula: If the equation won't factorise, or you can't see how it would, there is a formula you can use to give you both values of x: for any equation ax2+bx+c = 0, x = (-b±√(b2-4ac))/2a. The two values of x come from the ±: one uses a plus and the other a minus.
Still curious? Ask our experts.
Chat with our AI personalities
Vivi
Maxine
ReneAdd your answer:
Earn +20 pts
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 Is it possible to have different quadratic equation?
Draw the graph of the equation. the solution is/are the points where the line cuts the x(horisontal) axis .
What is the solution of a quadratic equation called?
Sum
What do you find when you determine the discriminant?
Whether or not that there is a solution to a quadratic equation,
What is the formula of a quadratic equation?
The quadratic equation in standard form is: ax2 + bx + c = 0. The solution is x = [-b ± √b2- 4ac)] ÷ 2a You can use either plus or minus - a quadratic equation may have two solutions.
Do all quadratic equation have a solution?
No. Some have two solutions where as some have none.
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 Is it possible to have different quadratic equation?
Draw the graph of the equation. the solution is/are the points where the line cuts the x(horisontal) axis .
What is the solution to the math problem involving the keyword "quadratic equation"?
The solution to a math problem involving a quadratic equation is the values of the variable that make the equation true, typically found using the quadratic formula or factoring.
What is the solution of a quadratic equation called?
Sum
Word Problem about quadratic equation with solution?
x2
Is it possible for a quadratic equation to have no real solution give examle ansd explain?
Is it possible for a quadratic equation to have no real solution? please give an example and explain. Thank you
When will an equation have no solution?
If the discriminant of a quadratic equation is less than zero then it has no solutions.
What do you find when you determine the discriminant?
Whether or not that there is a solution to a quadratic equation,
If the discriminant of a quadratic equation equals zero what is true of the equation?
It has one real solution.
What is the solution of the quadratic equation x2 plus 3x-10?
1,2.5
What is the formula of a quadratic equation?
The quadratic equation in standard form is: ax2 + bx + c = 0. The solution is x = [-b ± √b2- 4ac)] ÷ 2a You can use either plus or minus - a quadratic equation may have two solutions.
What is the solution to the quadratic equation x2 plus 10x plus 25 equals 7?
Using the quadratic equation formula: x = -5-/+ the square root of 7
-3x-5y21 what is the solution?
If this is a quadratic equation, you did not specify the third term adequately.
