(d) (i) Factorise the quadratic expression x² + 3x - 28. 22 (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: y²-19y=0 y² = 19y Add 19y to each side: Divide each side By y: y = 19 (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 <- x+3 9
(d) (i) Factorise the quadratic expression x² + 3x - 28. 22 (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: y²-19y=0 y² = 19y Add 19y to each side: Divide each side By y: y = 19 (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 <- x+3 9
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:(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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