Question

solve for u.
$u^2 + 4u - 5 = 0$
if there is more than one solution, separate them with commas.
if there is no solution, click on
o solution\.
u =
(there are some input buttons and a
o solution\ option on the right side, but the main problem text is as above.)

Explanation:

Step1: Factor the quadratic equation

We need to factor \(u^2 + 4u - 5 = 0\). We look for two numbers that multiply to \(-5\) and add up to \(4\). The numbers are \(5\) and \(-1\) since \(5\times(-1)=-5\) and \(5 + (-1)=4\). So, the equation factors as \((u + 5)(u - 1)=0\).

Step2: Solve for u

Set each factor equal to zero:

• For \(u + 5 = 0\), subtract \(5\) from both sides: \(u=-5\).
• For \(u - 1 = 0\), add \(1\) to both sides: \(u = 1\).

Answer:

\(u=-5,1\)