Solve the following quadratic equation using the formula :\[ x^2 - 6x + 7 = 0 \]
Q.2 (B)(iii) Solve the following quadratic equation using the formula :
\[ x^2 - 6x + 7 = 0 \]
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Answer: \(x = 3 + \sqrt{2}\) or \(x = 3 - \sqrt{2}\)
\(a = 1,\ b = -6,\ c = 7\).
\(b^2 - 4ac = 36 - 28 = 8\).
\(x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} = \dfrac{6 \pm \sqrt{8}}{2} = \dfrac{6 \pm 2\sqrt{2}}{2} = 3 \pm \sqrt{2}\).
Doubtly AI
· 27 Oct 2026
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