Find the Roots (Zeros) f(x)=x^2-4x-60

$f (x) = x^{2} - 4 x - 60$

Step 1

Set $x^{2} - 4 x - 60$ equal to $0$ .

$x^{2} - 4 x - 60 = 0$

Step 2

Solve for $x$ .

Factor $x^{2} - 4 x - 60$ using the AC method.

Consider the form $x^{2} + b x + c$ . Find a pair of integers whose product is $c$ and whose sum is $b$ . In this case, whose product is $- 60$ and whose sum is $- 4$ .

$- 10, 6$

Write the factored form using these integers.

$(x - 10) (x + 6) = 0$

If any individual factor on the left side of the equation is equal to $0$ , the entire expression will be equal to $0$ .

$x - 10 = 0$

$x + 6 = 0$

Set $x - 10$ equal to $0$ and solve for $x$ .

Set $x - 10$ equal to $0$ .

$x - 10 = 0$

Add $10$ to both sides of the equation.

$x = 10$

Set $x + 6$ equal to $0$ and solve for $x$ .

Set $x + 6$ equal to $0$ .

$x + 6 = 0$

Subtract $6$ from both sides of the equation.

$x = - 6$

The final solution is all the values that make $(x - 10) (x + 6) = 0$ true.

$x = 10, - 6$

Step 3

Find the Roots (Zeros) f(x)=x^2-4x-60

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