Consider the expression $x^2-8x+13$. Express $x^2-8x+13$ in the form $(x-a)^2-b$. Hence, solve

Question

Consider the expression $x^2-8x+13$. Express $x^2-8x+13$ in the form $(x-a)^2-b$. Hence, solve $x^2-8x+13=0$, giving your answers correct to 2 decimal places.

Accepted Answer

(a) $(x-4)^2-3$; (b) $x=2.27$ or $x=5.73$.

Sec 3/4 E Math T01-Q07 - Completing the square and solving a quadratic equation

Sec 3/4 E Math T01-Q07 - Completing the square and solving a quadratic equation

Solution:

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