The Quadratic Eq;n , when plotted on gaph paper, will reveal a parabola.
This patrabola can intersect the x-axis in two places, just touch the x-axis or miss it altogether.
The roots of a quadratic eq;n are the point(s) were the parabola intersects the x-axis.
If is intersects at two points, then there are two roots. If it just touches the x-axis, then there is one root only. If it does not touch the x-axis, then the eq'n remains unresolved.
Using the quadratic equation formula: x = -5-/+ the square root of 7
That depends on the equation.
take the square root of both sides.
You know an equation is quadratic by looking at the degree of the highest power in the equation. If it is 2, then it is quadratic. so any equation or polynomial of the form: ax2 +bx+c=0 where a is NOT 0 and a, b and c are known as the quadratic coefficients is a quadratic equation.
A quadratic equation.
Write an algorithm to find the root of quadratic equation
It too will have a value of 5
How you solve an equation that doesn't factor is to plug a quadratic equation's format; ax2+bx+c into the quadratic formula which is x=-b+square root to (b2-4ac)/2a.
Radicand
When there is a negative number under the square root in a quadratic equation, it indicates that the equation has no real solutions. Instead, it results in complex or imaginary solutions, as the square root of a negative number involves the imaginary unit (i). This situation occurs when the discriminant (the part under the square root in the quadratic formula) is negative. Consequently, the quadratic graph does not intersect the x-axis, indicating no real roots.
The answer to the question, as stated, is that the other root could be anything. However, if all the coefficients of the quadratic equation are real numbers, then the other root is 1 minus 3i.
If the discriminant of a quadratic equation equals zero, it indicates that the equation has exactly one real solution, also known as a repeated or double root. This means that the parabola represented by the quadratic equation touches the x-axis at a single point rather than crossing it. In this case, the quadratic can be expressed in the form ((x - r)^2 = 0), where (r) is the root.
It is the equation inside the square root of the Quadratic FormulaIf > 0 there is a solutionIf < 0 there is no solutionBecause you can not calculate the Square Root of a Negative Number
Using the quadratic equation formula: x = -5-/+ the square root of 7
2x2-10+7 = 0 Solving the quadratic equation using the quadratic formula will give you two solutions and they are: x = (5 - the square root of 11)/2 or x = (5 + the square root of 11)/2
A quadratic equation has only one distinct solution when its discriminant (the part of the equation under the square root in the quadratic formula) is zero. This occurs when the equation can be expressed in the form ( (x - r)^2 = 0 ), where ( r ) is the repeated root. In this case, the parabola touches the x-axis at a single point, indicating that there is only one unique solution. Thus, the equation has a double root, rather than two distinct solutions.
The roots are (if the equation is of the form Ax2 + Bx + C = 0 ((-B) + Square Root of (B2 - 4xAxC)) / 2xA and ((-B) - Square Root of (B2 - 4xAxC)) / 2xA