Question

100POINTSwhich quadratic function has the largest positive solution x^2-25=0

x^2+10=154
X^2-9=160
x^2+49=50

Answer 1

The equation that gives the largest possible solution of ‘x’ is
`x^(2)-9=160`

Answer: Option C

Explanation:

Solve for ‘x’ for all given options to find largest possible solution.

Case A:
`x^(2)-25=0`

`x^(2)=25`

Taking square root for ‘25’, we get x = 5

Case B:
`x^(2)+10=154`

`x^(2)=154-10=144`

Taking square root for ‘144’, we get ‘x’ as x = 12

Case C:
`x^(2)-9=160`

`x^(2)=160+9=169`

Taking square root for ‘169’, we get ‘x’ as x = 13

Case D:
`x^(2)+49=50`

`x^(2)=50-49=1`

Taking square root for ‘1’, we get ‘x’ as x = 1

Hence, the equation that gives the largest possible solution of ‘x’ is Option C:
`x^(2)-9=160`