Question

Create a function graph to answer the question. What are the solutions to the equation x2−5x=−4
? Enter the smaller value first.(1 point)
x=

, x=

1 answer

To find the solutions to the equation x^2 - 5x = -4, we first need to rewrite the equation in the standard form of a quadratic equation, which is ax^2 + bx + c = 0.

So, x^2 - 5x + 4 = 0

Now, we can factorize the quadratic equation:

(x - 4)(x - 1) = 0

Setting each factor to zero gives us the solutions:

x - 4 = 0
x = 4

x - 1 = 0
x = 1

Therefore, the solutions to the equation x^2 - 5x = -4 are x = 1 and x = 4. The smaller value is x = 1 and the larger value is x = 4.