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Discriminant Formula In Ohio
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Use the discriminant formula to determine how many solutions. There are in this equation. So a isMoreUse the discriminant formula to determine how many solutions. There are in this equation. So a is one b is four and c is seven.
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.
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.
Use the discriminant formula to determine how many solutions. There are in this equation. So a isMoreUse the discriminant formula to determine how many solutions. There are in this equation. So a is one b is four and c is seven.
The roots are calculated using the formula, x = (-b ± √ (b2 - 4ac) )/2a. Discriminant is, D = b2 - 4ac.
Solution: As given, quadratic equation 3√3x2+10x+√3=0. Thus, discriminant of the given quadratic equation is 64.
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.
The value of the discriminant shows how many roots f(x) has: - If b2 – 4ac > 0 then the quadratic function has two distinct real roots. - If b2 – 4ac = 0 then the quadratic function has one repeated real root. - If b2 – 4ac < 0 then the quadratic function has no real roots.
In the given quadratic equation 5x2 + 4x + 9 = 0, the coefficients are a = 5, b = 4, and c = 9. The discriminant can be calculated using the formula D = b2 - 4ac. Substituting the values, we get D = (4)2 - 4(5)(9) = 16 - 180 = -164.
Hence, the discriminant of the equation 8x² - 5x + 3 = 0 is -71. The discriminant is crucial in analyzing the nature of the roots of the quadratic equation. In this case, since the discriminant is negative, the equation has complex roots, indicating that there are no real solutions.