The discriminant of [tex]3x^2-10x=-2[/tex] is 76
To find the discriminant of [tex]3x^2-10x=-2[/tex], we have to recall the quadratic formula.
Further Explanation
The formula of the quadratic equation can be expressed as [tex]ax^2+bx+c=0[/tex] and discriminant also expressed as [tex]D=b^2-4ac[/tex]
Using the quadratic formula, the given question can be expressed as:
[tex]3x^2-10x+2=0[/tex]
Where a = 3, b = -10, and c = 2
If we substitute the values, then the discriminant would be:
Recall the discriminant is [tex]D=b^2-4ac[/tex]
Therefore, we have
[tex]D=(-10)^2-4(3)(2)[/tex]
[tex]D=100-24[/tex]
[tex]D=76[/tex]
Thus, the discriminant of [tex]3x^2-10x=-2[/tex] is 76.
Discriminant is very helpful in quadratic equation as it helps reveals the number of real solutions to a given quadratic equation. In other words, it helps you to solve quadratic equation.
While discriminant only tells only reveals the number of real solutions, it doesn’t reveal what the solutions are. The determinant would only give you hint as regards the number of real solution to look for.
LEARN MORE:
- Find the discriminent of the equation 3x2- 10x https://brainly.in/question/11507036
- Find the discriminent of the equation 3x2+10x+3=0 https://brainly.in/question/5897002
KEYWORDS:
- discriminant
- quadratic formula
- 3x2-10x=-2
- solution
- quadratic equation
