Solve the equation $$\(|3 x-5|=x+2\)$$. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................
Exam No：9709_m21_qp_22 Year：2021 Question No：1(b)
Answer:
Solve \(3 x-5=x+2\) to obtain \(x=\frac{7}{2}\)
Attempt solution of linear equation where signs of \(3 x\) and \(x\) are different.
Obtain \(x=\frac{3}{4}\)
Alternative method for question 1(b)
State or imply non-modulus equation \((3 x-5)^{2}=(x+2)^{2}\)
Attempt solution of 3-term quadratic equation
Obtain \(\frac{3}{4}\) and \(\frac{7}{2}\)
Attempt solution of linear equation where signs of \(3 x\) and \(x\) are different.
Obtain \(x=\frac{3}{4}\)
Alternative method for question 1(b)
State or imply non-modulus equation \((3 x-5)^{2}=(x+2)^{2}\)
Attempt solution of 3-term quadratic equation
Obtain \(\frac{3}{4}\) and \(\frac{7}{2}\)
Knowledge points:
2.1.1 understand the meaning of |x| , sketch the graph of y = |ax + b| and use relations such as |a| = |b| a - b < x < a + b when solving equations and inequalities (Graphs of and for non-linear functions are not included.)
Solution:
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