Plaintiff seeks to recover actual, compensatory, liquidated, and punitive damages for discrimination based upon discrimination concerning his disability. Plaintiff submits a request to the court for lost salary and benefits, future lost salary and benefits, and compensatory damages for emotional pain and suffering.
Discriminant Formula In Middlesex
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Middlesex
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Solution: As given, quadratic equation 3√3x2+10x+√3=0. Thus, discriminant of the given quadratic equation is 64.
The roots are calculated using the formula, x = (-b ± √ (b2 - 4ac) )/2a. Discriminant is, D = b2 - 4ac.
The given equation is of the form ax2 + bx + c = 0 where a = 2 b = – 4 andc = 3. Therefore the discriminantb2 – 4ac = – 42 – 4 × 2 × 3 = 16 – 24 = – 8 < 0So the given equation has no real roots.
The discriminant of a quadratic equation ax2 + bx + c = 0 is in terms of its coefficients a, b, and c. i.e., Δ OR D = b2 − 4ac.
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.
Quadratics of either type never take the value 0, and so their discriminant is negative. Furthermore, such a quadratic is positive definite if a>0, and negative definite if a<0.
If the discriminant of a quadratic equation is 2, then the equation has One real solution .
The Discriminant If b2−4ac>0 b 2 − 4 a c > 0 , then the number underneath the radical will be a positive value. If b2−4ac=0 b 2 − 4 a c = 0 , then you will be taking the square root of 0 , which is 0 . If b2−4ac<0 b 2 − 4 a c < 0 , then the number underneath the radical will be a negative value.
Discriminant of a Polynomial The discriminant of a quadratic polynomial is the portion of the quadratic formula under the square root symbol: b2-4ac, that tells whether there are two solutions, one solution, or no solutions to the given equation. The discriminant is a homogeneous polynomial in the coefficients.
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.