2y2 + y = -11y
Add 11y to each side of the equation:
2y2 + 12y = 0
Divide each side by 2:
y2 + 6y = 0
Factor the left side:
y (y + 6) = 0
The equation is true if either factor is zero:
y = 0
or (y + 6) = 0
y = -6
To find the solution to this equation, you need to rearrange the terms and solve for the variable. 4 = 2b + b^2 can be rewritten as b^2 + 2b - 4 = 0. You can then solve this quadratic equation by factoring, completing the square, or using the quadratic formula.
Draw the graph of the equation. the solution is/are the points where the line cuts the x(horisontal) axis .
To solve a quadratic equation of the form ( ax^2 + bx + c = 0 ), you can use several methods, including factoring, completing the square, or applying the quadratic formula. The quadratic formula, ( x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} ), is particularly useful when the equation cannot be easily factored. First, calculate the discriminant (( b^2 - 4ac )); if it is positive, there are two real solutions, if zero, one real solution, and if negative, two complex solutions. Select the appropriate method based on the specific equation you are working with.
Sum
When you graph the quadratic equation, you have three possibilities... 1. The graph touches x-axis once. Then that quadratic equation only has one solution and you find it by finding the x-intercept. 2. The graph touches x-axis twice. Then that quadratic equation has two solutions and you also find it by finding the x-intercept 3. The graph doesn't touch the x-axis at all. Then that quadratic equation has no solutions. If you really want to find the solutions, you'll have to go to imaginary solutions, where the solutions include negative square roots.
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.
If you have a quadratic equation and there is no x to put into the equation to get zero. The graph is like a U that is above the x axis or a cap that is below the x axis.
To find the solution to this equation, you need to rearrange the terms and solve for the variable. 4 = 2b + b^2 can be rewritten as b^2 + 2b - 4 = 0. You can then solve this quadratic equation by factoring, completing the square, or using the quadratic formula.
Draw the graph of the equation. the solution is/are the points where the line cuts the x(horisontal) axis .
To solve a quadratic equation of the form ( ax^2 + bx + c = 0 ), you can use several methods, including factoring, completing the square, or applying the quadratic formula. The quadratic formula, ( x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} ), is particularly useful when the equation cannot be easily factored. First, calculate the discriminant (( b^2 - 4ac )); if it is positive, there are two real solutions, if zero, one real solution, and if negative, two complex solutions. Select the appropriate method based on the specific equation you are working with.
Sum
When you graph the quadratic equation, you have three possibilities... 1. The graph touches x-axis once. Then that quadratic equation only has one solution and you find it by finding the x-intercept. 2. The graph touches x-axis twice. Then that quadratic equation has two solutions and you also find it by finding the x-intercept 3. The graph doesn't touch the x-axis at all. Then that quadratic equation has no solutions. If you really want to find the solutions, you'll have to go to imaginary solutions, where the solutions include negative square roots.
A quadratic equation can have two solutions, one solution, or no real solutions, depending on its discriminant (the part of the quadratic formula under the square root). If the discriminant is positive, there are two distinct real solutions; if it is zero, there is exactly one real solution (a repeated root); and if it is negative, there are no real solutions, only complex ones. Thus, a quadratic equation does not always have two solutions.
6
Is it possible for a quadratic equation to have no real solution? please give an example and explain. Thank you
x2
If the discriminant of a quadratic equation is less than zero then it has no solutions.