Question

solve by completing squard method.... m²-14m+13=0​

Answer 1

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• Solve quadratic equations using formula. m² - 14 m + 13 = 0

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${m}^{2} - 14m + 13 = 0$

comparing with

$ax {}^{2} + bx + c = 0$

we get,

$a = 1. \: b = - 14. \: c = 13$

${b}^{2} - 4ac = ( - 14) {}^{2} - 4 \times 1 \times 13$

$= 196 - 52 = 144$

$m = \frac{ - b \: ±\sqrt{ b {}^{2} } - 4ac }{2a}$

$= \frac{ - ( - 14) \: ± \: \sqrt{144} }{2 \times 1}$

$= \frac{14 \: ± \: 12}{2}$

therefore

$m = \frac{14 + 12}{2} \: {or} \: m = \frac{14 - 12}{2}$

therefore

$m = \frac{26}{2} \: or \: m = \frac{2}{2}$

therefore

$m = 13 \: or \: m = 1$

13 and 1 are the roots of the equation