Question

find the zeroes and verify the answer 7x²-6x-1=0​

Answer 1

${\huge{\boxed{\underline{\bf{\color{lightpink}{ \bigstar}{Answer:}}}}}}$

To Solve:

• Find the zeroes and verify the answer 7x²- 6x - 1 = 0

Solⁿ:

• Terms: a = 7, b = -6, c = -1
• Split -6 as -7, +1

$7{x}^{2} - 6x - 1 = 0 \\ \\ 7 {x}^{2} - 7x + 1x - 1= 0 \\ \\ 7x(x - 1) + 1(x - 1) = 0 \\ \\ (x - 1)(7x + 1) = 0 \\ \\ x = 1 \: \: \: \: \: \: \: \: x = \frac{ - 1}{7} \\ \\ { \boxed{ \tt{ \pink{ verification}}}} \\ \\ sum \: \: of \: \: zeroes = \alpha + \beta = \frac{ - ( b)}{a} \\ \\ = 1 + (\frac{ - 1}{7}) = \frac{6}{7} \\ \\ \frac{ - ( b)}{a} = \frac{6}{7} \\ \\ { \pink{ \tt{verified}}} \\ \\ product \: \: of \: \: zeroes \: = \alpha .\beta = \frac{c}{a} \\ \\ 1 \times \frac{ - 1}{7} = \frac{ - 1}{7} \\ \\ \frac{c}{a} = \frac{ - 1}{7} \\ \\ { \pink{ \tt{verified}}}$

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