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Official 2018 Paper 1 · Q4

Paper 1Algebra

Consider the simultaneous equations

3x2+2xy=43x^2+2xy=4
x+y=ax+y=a

where aa is a real constant.

Find the complete set of values of aa for which the equations have two distinct real solutions for xx.

AThere are no values of aa.
B−2<a<2-2<a<2
C−1<a<1-1<a<1
Da=0a=0
Ea<−1a<-1 or a>1a>1
Fa<−2a<-2 or a>2a>2
GAll real values of aa

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