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Maurinko [17]
3 years ago
7

Urgent please help. will mark brainliest.

Mathematics
1 answer:
mihalych1998 [28]3 years ago
7 0

Answer:

x= -1

Step-by-step explanation:

p= x² +4x -2 -----(1)

q= 2x -1 ------(2)

q -p= 2 -----(3)

Substitute (1) and (2) into (3):

2x -1 -(x² +4x -2)= 2

2x -1 -x² -4x +2= 2 <em>(</em><em>Expand</em><em> </em><em>bracket</em><em>)</em>

-x² -2x +1=2 <em>(</em><em>S</em><em>implify</em><em>)</em>

x² +2x +2 -1= 0 <em>(</em><em>Bring</em><em> </em><em>all</em><em> </em><em>terms</em><em> </em><em>to</em><em> </em><em>one</em><em> </em><em>side</em><em>)</em>

x² +2x +1= 0

(x +1)²= 0 <em>(</em><em>Factorise</em><em>)</em>

x +1= 0 <em>(</em><em>Square</em><em> </em><em>root</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>

x= -1 <em>(</em><em>-1</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>

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