If $25{{x}^{2}}-30x+{{k}^{2}}$ is a perfect square, find the positive value of $k$. Hence,

Question

If $25{{x}^{2}}-30x+{{k}^{2}}$ is a perfect square, find the positive value of $k$. Hence, solve the equation $25{{x}^{2}}-30x+{{k}^{2}}=5$ giving your answers correct to $2$ decimal places.

Accepted Answer

(i) k = 3; (ii) x = 1.05 or 0.15.

Perfect Square Quadratics (Advanced Form)

Perfect Square Quadratics (Advanced Form)

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