find the roots of the quadratic equation x 2 6x 9 0 A root is a value for which the function equals zero The roots are the points where the function intercept with the x axis Complex roots are the imaginary roots of a function To
Answer The roots of the quadratic equation are tex x 3 3 sqrt 2 tex tex x 3 3 sqrt 2 tex Step by step explanation we have tex x 2 6x 9 0 tex Solve quadratic equations using a quadratic formula calculator Calculator solution will show work for real and complex roots Uses the quadratic formula to solve a second order polynomial equation
find the roots of the quadratic equation x 2 6x 9 0
find the roots of the quadratic equation x 2 6x 9 0
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Free Equation Solver helps you to calculate linear quadratic and polynomial systems of equations Answers graphs roots alternate forms Enter the equation you want to solve using the quadratic formula The Quadratic Formula Calculator finds solutions to quadratic equations with real coefficients For equations
The roots of a quadratic equation ax 2 bx c 0 can be found using the quadratic formula that says x b b 2 4ac 2a Alternatively if the quadratic expression is factorable then we can factor it and set the X2 6x 9 0 x 2 6 x 9 0 The discriminant of a quadratic is the expression inside the radical of the quadratic formula b2 4 ac b 2 4 a c Substitute in the values of a a b
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In this method we find the roots of the given quadratic equation ax 2 bx c 0 by splitting the coefficient of x We have to find two numbers and such that b and c For example we have to find the roots of x 2 The example below illustrates how this formula applies to the quadratic equation x2 5x 6 x 2 5 x 6 As you can see the sum of the roots is indeed b a b a and the product of the roots is c a c a
The nature of roots of the quadratic equation 9x 2 6x 2 0 is a No real roots b 2 equal real roots c 2 distinct real roots d More than 2 real roots This Step 1 Equating the quadratic equation by substituting and in the equation The given quadratic equation is x 2 6 x 2 0 i And and be the roots of this equation
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find the roots of the quadratic equation x 2 6x 9 0 - X2 6x 9 0 x 2 6 x 9 0 The discriminant of a quadratic is the expression inside the radical of the quadratic formula b2 4 ac b 2 4 a c Substitute in the values of a a b