Solve x^2+6x+5
Solve ax² + bx + c = 0 using the quadratic formula with discriminant analysis.
x2+6x+5
Solve by factoring the quadratic and applying the zero product property:
We need two numbers that multiply to 5 (the constant term) and add to 6 (the coefficient of x):
5 × 1 = 5 and 5 + 1 = 6
Write the factored form using these numbers:
(x + 1)(x + 5) = 0
If a product equals zero, at least one of the factors must be zero. Set each factor equal to zero and solve:
x + 1 = 0 → x = −1
x + 5 = 0 → x = −5
x = -5, -1
How to solve x^2+6x+5
To solve x^2+6x+5, we can try factoring, use the quadratic formula, or complete the square. The solution is x = -5, -1.
This is a second-degree quadratic equation — the highest power of the variable is 2. Quadratic equations can have two real roots, one repeated root, or two complex roots.
Frequently asked questions
What is the answer to x^2+6x+5?
The answer is x = -5, -1.
What method is used?
factoring when possible, or the quadratic formula x = (−b ± √(b²−4ac)) / 2a. The discriminant b²−4ac determines the number and type of solutions.
How do I verify this?
Substituting the solution(s) back into x^2+6x+5 confirms both sides are equal.