12/20/2023 0 Comments Solve quadratic equation![]() Textbook content produced by OpenStax is licensed under a Creative Commons Attribution License. We recommend using aĪuthors: Lynn Marecek, MaryAnne Anthony-Smith, Andrea Honeycutt Mathis Use the information below to generate a citation. Then you must include on every digital page view the following attribution: If you are redistributing all or part of this book in a digital format, In this formula, a, b, and c are number they are the numerical coefficient of the quadratic. Then you must include on every physical page the following attribution: Answer: The general quadratic equation formula is ax2 + bx + c. Therefore the solutions of the given equation are 2/3 and 3/5. ![]() Here we will write a quadratic equation program in c to solve quadratic equation and find the roots of quadratic equation using c programming language. The nature of roots is determined by the discriminant. Step3-Rewrite the equation as following by adding and subtracting (1/2)². The standard form of the quadratic equation is ax² + bx + c 0 where a, b, and c are real and a 0, x is an unknown variable. Step1- Make its x² term a complete square by multiplying 15 to whole of the equation. ![]() If you are redistributing all or part of this book in a print format, Complete square mean writing the given expression, 15x² + x 6 into the form of (a + b)². Factoring means finding expressions that can be multiplied together to give the. Want to cite, share, or modify this book? This book uses the Often the easiest method of solving a quadratic equation is factoring. The standard form is ax² + bx + c 0 with a, b and c being constants, or numerical coefficients, and x being an unknown variable. This last equation is the Quadratic Formula. What is a quadratic equation A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared. X = − b ± b 2 − 4 a c 2 a x = − b ± b 2 − 4 a c 2 a X = − b 2 a ± b 2 − 4 a c 2 a x = − b 2 a ± b 2 − 4 a c 2 a X + b 2 a = ± b 2 − 4 a c 2 a x + b 2 a = ± b 2 − 4 a c 2 aĪdd − b 2 a − b 2 a to both sides of the equation. X + b 2 a = ± b 2 − 4 a c 4 a 2 x + b 2 a = ± b 2 − 4 a c 4 a 2 ( x + b 2 a ) 2 = b 2 − 4 a c 4 a 2 ( x + b 2 a ) 2 = b 2 − 4 a c 4 a 2 ( x + b 2 a ) 2 = − c a + b 2 4 a 2 ( x + b 2 a ) 2 = − c a + b 2 4 a 2įind the common denominator of the right side and writeĮquivalent fractions with the common denominator. The left side is a perfect square, factor it. X 2 + b a x + b 2 4 a 2 = − c a + b 2 4 a 2 x 2 + b a x + b 2 4 a 2 = − c a + b 2 4 a 2 Make leading coefficient 1, by dividing by a.Ī x 2 a + b a x = − c a a x 2 a + b a x = − c a We start with the standard form of a quadratic equationĪnd solve it for x by completing the square.Ī x 2 + b x + c = 0 a ≠ 0 a x 2 + b x + c = 0 a ≠ 0
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |