Question

Solve the equation: x2-6x+5=0
a. 2,1
b. no solutions
c.1,5
d.1

Answer 1

c) 5,1

Explanation:

x^2-6x+5=0

we can solve this by two methodes which is middle term or by a formula, which is=

-b+_(under route)b^2-4ac

x= _______________________

2a

-(-6)+-(under route)-6^2-4(1)(5)

so, x=_________________________

2(1)

x=5 or, x=1

(answer)

Answer 2

`\huge{\sf{\underline{\underline{Answer \ :}}}}`

The correct solutions of the equation
`\sf{x^2 \ - \ 6x \ + \ 5 \= \ 0}` are 1 and 5. i.e. Option C is correct.

`\large{\bf{\underline{\underline{Explanation \ :}}}}`

`\implies` We can solve the equations by using the quadratic formula :

`\rightarrow{\bf{\boxed{\boxed{ x = (-b \± √(b^2 - 4ac))/(2a) }}}}`

Where a,b, and c are the coefficients of the equation. i.e.

• a = 1
• b = -6
• c = 5

__________________[Putting values]

`\sf{\implies x = (-(-6)\± √(-6 - 4(1)(5)) )/((1))}\\ \\ \sf{\implies x = (6 \± √(36 - 20) )/(2)} \\ \\ \sf{\implies x = (6 \± √(16) )/(y)} \\ \\ \sf{\implies x = (6 \± 4)/(2)} \\ \\ \bf{When \ Positive} \\ \\ \sf{\implies x = (10)/(2)} \\ \\ \sf{\boxed{x = 5}} \\ \\ \bf{When \ negative} \\ \\ \sf{\implies x = (2)/(2) } \\ \\ \sf{\boxed{x=1}}`