CAIE IGCSE Mathematics Extended E2.5.5 Solve Linear and Non Linear Simultaneous Equations Questions

Review CAIE IGCSE Mathematics Extended non-linear simultaneous equations through substitution, quadratic solving and line–curve intersection coordinates.

Exam points

Substitute a linear equation into a quadratic, solve the resulting quadratic, and find both line–curve intersection coordinate pairs.

[Maximum number: 4]

The line y=x+1 intersects the curve $y=x^{2}+x-3$ at two points.
Find the coordinates of the two points.

Figure for Question CAIE IGCSE Mathematics Extended E2.5.5 Solve Linear and Non Linear Simultaneous Equations Questions question 1 — CAIE IGCSE Mathematics Extended

[4]
22 x is inversely proportional to the square root of w. When w=16, x=3.

Find x in terms of w.

(2, 3) and (-2, -1)

4

B3 for x=2 and x=-2

or B2 for $x^{2}-4[=0]$ or better

or for (2,3) or (-2,-1)

or M1 for $x+1=x^{2}+x-3$ oe

22

$\frac{12}{\sqrt{w}}$ oe final answer

2

M1 for $x=\frac{k}{\sqrt{w}}$ oe

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CAIE IGCSE Mathematics Extended E2.5.5 Solve Linear and Non Linear Simultaneous Equations Questions question 1