Homework 10 Name: Show all work. You should avoid calculator usage unless you are using it to check your work. Also, you should be doing your work in pencil. Fundamental Questions 1) State the standard form for a quadratic equation. 2) State Vieta's Theorem. 3) Solve the following quadratic equation for r by three different methods (hint: b = 0). x2 - 16 = 0 Routine Questions 4) Solve the following quadratic equations for r. State your answers in simplest radical form. a) 4x2 - 25 = 0 b) 100x2 - 81 = 0 1 16 .=0d) 2x2 - 18 = 0 5) Solve the following quadratic equations for r. State your answers in simplest radical form. a) 1' + 6r + 8 =0 b) 12 - 9r - 36 = 0 c) 3x' + 21r + 30 = 0 d) -212 + 14x - 24 = 0 6) Solve the following quadratic equations for r by completing the square. State your answers in simplest radical form. a) x2 + 6r +5 =0b) 12 - 4r + 1 =0 c) 3x2 - 4x - 2 = 0 7) For which b-value will the following quadratic equation have roots of r, = 1 and $2 = 6? 2x2 + br + 12 = 0Homework 11 Name: Show all work. You should avoid calculator usage unless you am using it to Chock your wank Also. you should be doing your uaonl' in. pencil. Fundamental nations 1) State the quadratic formula. 2) Vmt is the factored form of M2 + b: + t' when; the roots are 1] and r2? 3) When will all + b: + c = I] have no solutions? 4) Salvo the following quadratic equation for I by two different methods. 212+I-lI-5=0 Routine Questions 5} Solve tho. following qmulrntic mutations {or I by feurtoring by grouping. State your emswors in simplest radical form. a)3r24x4=U b)3x2+1Ix4=n c)x=11xm=n d) 2x' - 11x - 21 = 0 6) Solve the following quadratic equations for r. State your answers in simplest radical form. a) 512 - 2x - 1 =0 b) 2x' + 7: +4=0 c) 812 + 81 + 2 = 0\f8) Solve the following quadratic equations for r. State your answers in simplest radical form. 6 of 9 - 3= r(x-1) b) 13 - 3r' = 4r c) x4 + 2x2 - 3 =0 d) 1 + 2 = 1 r+1Old Exam Questions 9) Solve the following quadratic equations for r. State your answers in simplest radical form. a) 312 -5= -r'+x b) x(-2x + 3) = 4r c) -x2+x -2=0 d) 4 + 7x = 3x2