Mathematics: Antoine is trying to find the roots of the quadratic function f(x)= x^2+25 he states that there is no solution. is he correct? justify your answer.

1because i saw every episode and I m right...

Antoine is trying to find the roots of the quadratic

Ответ:

maddiefoley17

10.03.2022

Assuming "solution" refers to a real solution (it often does), then yes, he would be correct. However, there are complex solutions for the equation. Let's try to find the solution ourselves to understand the problem better:

x^2 + 25 = 0

Set up

x^2 = -25

Subtract 25 from both sides

$x = \pm \sqrt{-25}$

Take the square root of both sides of the equation

$x = \pm i \sqrt{25}$

Use the imaginary number to simplify $\sqrt{-25}$

$x = \pm 5i$

Use $\sqrt{25} = 5$

The solutions of the equation are $\pm 5i$ . The problem is that these solutions are not real solutions, since they involve . It would often be said that the equation has no solution, even though the equation has complex solutions.

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Antoine is trying to find the roots of the quadratic function f(x)= x^2+25 he states that there is no solution. is he correct? justify your answer.

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