Question

x2-6x+7=0 solve using quadratic formula​

Answer 1

Answer:

x = 4.414, 2.414

Step-by-step explanation:

$x = \frac{- b \binom{ + }{ - } \sqrt{ {b}^{2} - 4ac}}{2a}$

where, a = 1

b = -6

c = 7

therefore,

$x = \frac{6 \binom{ + }{ - } \sqrt{ {6}^{2} - 4 \times 1 \times 7}}{2 \times 1}$

i.e.,

$x = \frac{6 + \sqrt{36 - 28} }{2}$

and,

$x = \frac{6 - \sqrt{36 - 28} }{2}$

Therefore,

$x = \frac{6 + \sqrt{8} }{2} and \: \frac{6 - \sqrt{8} }{2}$

i.e.,

$x = \frac{6 + 2.828}{2} \: and \: \frac{6 - 2.828}{2}$

→

$x = \frac{8.828}{2} \: and \: \frac{4.828}{2}$

→

$x = 4.414 \: and \: 2.414$

Remarks:

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