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Discriminant Formula In Fulton
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Fulton
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US-000286
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To find the discriminant given the quadratic equation f(x)=ax^2+bx+c, simply record the values of a, b, and c and then substitute them into the discriminant formula: d=b^2-4ac. This will give the value of the discriminant. This also tells the number of roots and whether or not the roots are real or imaginary.
Solution: As given, quadratic equation 3√3x2+10x+√3=0. Thus, discriminant of the given quadratic equation is 64.
This is because, when D > 0, the roots are given by x = −b±√ Positive number 2a − b ± Positive number 2 a and the square root of a positive number always results in a real number. So when the discriminant of a quadratic equation is greater than 0, it has two roots which are distinct and real numbers.
If the discriminant is greater than zero, this means that the quadratic equation has two real, distinct (different) roots. x2 - 5x + 2. If the discriminant is greater than zero, this means that the quadratic equation has no real roots.
Clearly, the discriminant of the given quadratic equation is zero. Therefore, the roots are real and equal.
If the discriminant is greater than zero, this means that the quadratic equation has two real, distinct (different) roots.
A root is nothing but the x-coordinate of the x-intercept of the quadratic function. The graph of a quadratic function in each of these 3 cases can be as follows. Important Notes on Discriminant: The discriminant of a quadratic equation ax2 + bx + c = 0 is Δ OR D = b2 − 4ac.
The correct option is A real and equal roots If the discriminant of a quadratic equation is zero, then the roots of the equation are real and equal.
Important Formulas for Quadratic Equation Roots include: ax² + bx + c = 0 is a quadratic equation. Use the formula x = (-b ± √ (b² – 4ac) )/2a. to calculate the roots. D = b² – 4ac is the discriminant.