Solve the equation $$\(|2 x-5|=|x+6|\)$$. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

Mathematics
IGCSE&ALevel
CAIE
Exam No:9709_w20_qp_21 Year:2020 Question No:4(a)

Answer:

State or imply non-modulus equation \((2 x-5)^{2}=(x+6)^{2}\) or pair of linear equations
Attempt solution of 3-term quadratic equation or of pair of linear equations
Obtain \(-\frac{1}{3}\) and 11

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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