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1 Unit 1: Pure Mathematics A

Given that $x > 0$ , answer parts (a) and (b).

Find the exact value of $x\,$ that satisfies $7x54x12=147\displaystyle \dfrac{7x^{\frac54}}{x^{\frac12}}=\sqrt{147}$ .

[4]

Show that $8x−182x−3\dfrac{8x-18}{2\sqrt{x}-3}$ , where $x≠94x\neq\dfrac94$ , may be written as $2(2x+3)2(2\sqrt{x}+3)$ .

[3]

1 Unit 1: Pure Mathematics A Questions

Given that $x > 0$ , answer parts (a) and (b).

Find the exact value of $x\,$ that satisfies $7x54x12=147\displaystyle \dfrac{7x^{\frac54}}{x^{\frac12}}=\sqrt{147}$ .

[4]

Show that $8x−182x−3\dfrac{8x-18}{2\sqrt{x}-3}$ , where $x≠94x\neq\dfrac94$ , may be written as $2(2x+3)2(2\sqrt{x}+3)$ .

[3]