MAT102H5 Lecture 1: Intro
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MAT102H5 Full Course Notes
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X: -3x" +5 x =1-> nota quadratic because of, none of the above. 2) factoring a polynomial v d) completing the square. 2x2 - (( +1)x +1 =0: (c +1) < <8 b(c +1)218. X c(c +1)2i: (( +1)2> 8 we want no solutions 2 - 4ac3[ - x +1)272 - 4(2)(k) =(2 +1)2 - 83 necusingdiscriminantsosee we want(c+1) -80. Rearranging, we get:(c +1): this equation always has real roots, regardless of the value of c. Afarmer wants to constructa rectangular fence around thier garden. They will use an existing wall for one side and will use com of fencing for the remaining 3 sides. We know 2l +w =20 and we =120 use the firstequation to solve for win = 20-2. Subw = 20-20 into the 2nd equation to get: (28 - 21)2 =128. Note:make sure to include words/sentences in your explanation. Ithelps, (cid:8869) to check if ithas any solutions, check the sign ofthe discriminant.
