Question

Which are the solutions of the quadratic equation? x2 = –5x – 3 –5, 0 5, 0

Answer 1

the correct answer is B.... on ED.....

just took the test....

Answer 2

We are given the quadratic equation
`\displaystyle{x^2=-5x`.

Note that if x=0, both sides of the equation are equal to 0.

So x=0 is a solution.

For
`x\\eq0`, then we can divide both sides of the equation by x, and we get x=-5.


Thus, the solution set is {0, -5}.


Remark: another way to solve the equation is to take -5x to the left hand side:


`\displaystyle{x^2+5x=0`,

then we factorize x as


`\displaystyle{x(x+5)=0`.

Thus we see that x is either 0, or -5.