9.4 Quadratics - Quadratic Formula

- Quadratic FormulaObjective: Solve Quadratic equations by using the Quadratic general from of a Quadratic isax2+bx+c= 0. We will now solve this for-mula forxby completing the squareExample +bc+c= 0 Separate constant from variables c cSubtractcfrom both sidesax2+bx= cDivide each term byaaaax2+bax= caFind the number that completes the square(12 ba)2=(b2a)2=b24a2 Add to both sides,b24a2 ca(4a4a)=b24a2 4ac4a2=b2 4ac4a2 Get common denominator on rightx2+bax+b24a2=b24a2 4ac4a2=b2 4ac4a2 Factor(x+b2a)2=b2 4ac4a2 Solve using the even root property(x+b2a)2 = b2 4ac4a2 Simplify rootsx+b2a= b2 4ac 2aSubtractb2afrom both sidesx= b b2 4ac 2aOur SolutionThis solution is a very important one to us. As we solved a general equation bycompleting the square, we can use this Formula to solve any Quadratic we identify whata, b,andcare in the Quadratic , we can substitute those1values intox= b b2 4ac 2aand we will get our two solutions. This Formula isknown as the Quadratic fromulaQuadratic Formula :ifax2+b x+c= 0thenx= b b2 4ac 2aWorld View Note:Indian mathematician Brahmagupta gave the first explicitformula for solving Quadratics in 628.

Quadratics - Quadratic Formula Objective: Solve quadratic equations by using the quadratic formula. The general from of a quadratic is ax2 + bx + c = 0. We will now solve this for- ... As we are solving using the quadratic formula, it is important to remember the equation must fist be equal to zero.

Loading..

Tags:

  Solving, Equations, Formula, Quadratic, Quadratic equations, Quadratic formula

Information

Related search queries