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Discriminant Formula In Utah
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For the quadratic equation ax2 + bx + c = 0, the expression b2 – 4ac is called the discriminant. 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.
Solution: As given, quadratic equation 3√3x2+10x+√3=0. Thus, discriminant of the given quadratic equation is 64.
The correct Answer is:=−55 Step by step video, text & image solution for Find the value of discriminant 2y^2-5y+10=0 by Maths experts to help you in doubts & scoring excellent marks in Class 10 exams.
The roots of a quadratic equation ax2 + bx + c = 0 can be found using the quadratic formula that says x = (-b ± √ (b2 - 4ac)) /2a. Alternatively, if the quadratic expression is factorable, then we can factor it and set the factors to zero to find the roots.
If the discriminant of a quadratic equation is 2, then the equation has One real solution .
The discriminant is the part of the quadratic formula underneath the square root symbol: 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.
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.
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 roots are calculated using the formula, x = (-b ± √ (b2 - 4ac) )/2a. Discriminant is, D = b2 - 4ac.
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To apply the quadratic formula to a particular quadratic equation just convert the equation to standard form and substitute the appropriate values. The focus of Secondary Mathematics II is on quadratic expressions, equations, and functions and on comparing their characteristics and behavior.This process is called completing the square. When would I use the Quadratic Formula? Free lesson on Investigation: Deriving the quadratic formula, taken from the Quadratics topic of our Utah Core Standards (2016) Math II textbook. If the discriminant is equal to zero, the two roots will be real and equal to each other;. 3. Discriminant. Do you see b2 − 4ac in the formula above? Objective 3: Solve and graph quadratic equations. a. Write this as an equation which you can solve in the form t = f(u,g,s), where f is some function of u, g and s. The discriminant b2 − 4ac gives information concerning the nature of the roots (see discriminant).