Quadratic formula 2
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The document introduces the quadratic formula, which can be used to solve any quadratic equation of the form ax^2 + bx + c = 0. It provides an example of using the quadratic formula to solve the equation 2x^2 + 7x - 5 = 0. The quadratic formula is given as x = (-b ± √(b^2 - 4ac)) / 2a, where a is the coefficient of x^2, b is the coefficient of x, and c is the constant term. The example works through applying this formula step-by-step to find the two solutions for the example equation.
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Quadratic formula 2
- 1. Introduction to the Quadratic FormulaLauren Schmitt
- 2. AbstractGiven any quadratic equation, we can solve for x by plugging values into the Quadratic Formula where:“a” is the coefficient in front of the “x²”
- 3. “b” is the coefficient in front of the “x”
- 4. “c” is whatever is leftoverax²+bx+c=0
- 5. Example2x²+7x-5=0a=2b=7c= -5x= -7± √(7²-4(2)(-5)) 2(2) x= -7± √(49+40) 4 x= -7± √(89)At this point the problem splits into 2 problems4 x= -7+ √(89) x= -7-√(89) so, x= 0.608, -4.108 4 4