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Solve x^2 = 4(x – 3)^2

Expanding and simplifying the right hand side: x²=4(x-3)(x-3)=4(x²-6x+9)=4x²-24x+36 Deducting 'x²' from both sides: 0=3x²-24x+36 Dividing by 3 and factorising: 0=x²-8x+12=(x-6)(x-2) Therefore solving: x=2 or x=6

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Solve x^2 = 4(x – 3)^2

Related Maths GCSE answers

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