2.a) Solve the quadratic equations using the method indicated:i- 3x - 5x+2=0by factorizationiix²-4 x-5=0by the quadratic formulaiii2(x-2)+1=9by the Square-Root methodb) Given the quadratic function f(x)=x+8x-10, determine the vertex andhence write the function in vertex form.

Answered: 2. a) Solve the quadratic equations…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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C. Solve each quadratic equation. 1) 2x² 3x1 = 0 2) 8x + 1 = 9x² 3) 4w²34= -12w 4) 3y(y-2) = 2 5) = 3 2x+6 x-1 - 14 x+5
(d) (i) Factorise the quadratic expression x² + 3x - 28. (ii) Use your answer to part (d) (i) to solve the quadratic equation x² + 3x - 28= 0, showing each step in your reasoning. Check that your solution is correct. (e) A student writes down the following piece of work, which contains an error in the reasoning. The equation is: Add 19y to each side: y²-19y=0 y² = 19y y = 19 Divide each side By y: (i) Substitute y = 19 into the left-hand side of the equation y²-19y = 0, and explain why this shows that y = 19 is indeed a solution of the equation. (ii) Write out a complete solution of the equation y2 - 19y = 0. (iii) Explain, as if directly to the student, why their solution is inadequate. (f) Solve the following equation, checking that your solution is correct: 24 72 = 9 <- x+3
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If the discriminant of a quadratic equation is 2, then the equation has
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5) Solve each quadratic by factoring a) f (x) = x? + 7x + 12 b) f (x) = 3x2 – 4x – 15

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2. a) Solve the quadratic equations using the method indicated: i - 3x - 5x+2=0 by factorization ii x²-4 x-5=0 by the quadratic formula iii 2(x-2)+1=9 by the Square-Root method b) Given the quadratic function f(x)=x+8x-10, determine the vertex and hence write the function in vertex form.