Quadratic Equation Discriminant Rules What is the Discriminant of a Quadratic Equation The discriminant is the part of the quadratic formula found within the square root For a quadratic of the form a 2 b c its discriminant is b 2 4ac
The discriminant for any quadratic equation of the form y ax2 bx c y a x 2 b x c is found by the following formula and it provides critical information regarding the nature of the roots solutions of any quadratic equation Formula Discriminant b2 4ac F o r m u l a Discriminant b 2 4 a c Aug 3 2023 nbsp 0183 32 Discriminant of a Quadratic Equation Thus to find the discriminant of a quadratic equation follow the following steps Step 1 Compare the given quadratic equation with its standard form ax 2 bx c 0 and find the values of a b and c Step 2 Substitute the values in the discriminant b 2 4ac to get the result
Quadratic Equation Discriminant Rules
Quadratic Equation Discriminant Rules
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Understanding the quadratic formula Worked example quadratic formula example 2 Worked example quadratic formula negative coefficients Quadratic formula Using the quadratic formula number of solutions Number of solutions of quadratic equations Quadratic formula review Discriminant review Math gt The discriminant of a quadratic polynomial denoted Delta is a function of the coefficients of the polynomial which provides information about the properties of the roots of the polynomial
The discriminant formula is used to find the number of solutions that a quadratic equation has In algebra the discriminant is the name given to the expression that appears under the square root radical sign in the quadratic formula In Algebra 1 the discriminant is used to verify that there are no real solutions or roots for quadratic equations When solving a quadratic equation we are usually searching for the two solutions that will make the equation true
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Standard Form The Standard Form of a Quadratic Equation looks like this a b and c are known values a can t be 0 x is the variable or unknown we don t know it yet Here are some examples Have a Play With It Play with the Quadratic Equation Explorer so you can see the function s graph and the solutions called quot roots quot Apr 3 2021 nbsp 0183 32 The Discriminant of a Quadratic Formula You can solve all quadratic equations using the quadratic formula method Because of its versatility we call it the almighty formula You can find the roots of a quadratic equation using x b b 178 4ac 1 2 2a
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Quadratic Equation Discriminant Rules - The discriminant formula is used to find the number of solutions that a quadratic equation has In algebra the discriminant is the name given to the expression that appears under the square root radical sign in the quadratic formula