By first expressing $4x^2 - 8x + 5$ in completed square form, show that $4x^2 - 8x + 5$ is

Question

By first expressing $4x^2 - 8x + 5$ in completed square form, show that $4x^2 - 8x + 5$ is positive for all real values of $x$.[2] Without the use of a calculator, solve the inequality $\frac{4x^2 - 8x + 5}{3x - 2x^2} \leq 0$.[2] Hence solve the inequality $\frac{4e^{2x} - 8e^x + 5}{3e^x - 2e^{2x}} \leq 0$.[2]

Accepted Answer

$x\dfrac32$; $x>\ln\dfrac32$

2025 YIJC Promo Q3

2025 YIJC Promo Q3

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