Solve 4x² - 15x + 11 = 0

You have come to the correct place if you are looking to solve the quadratic equation 4x squared minus 15x plus 11 equals 0, also known as 4x² - 15x + 11 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to 4x^2 - 15x + 11 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve 4x² - 15x + 11 = 0.

Below is 4x squared minus 15x plus 11 in factored form. As you can see, 4x² - 15x + 11 has been grouped into two sets of parentheses.

(4x - 11)(x - 1)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 4x^2 - 15x + 11 = 0.

(4x - 11) = 0
x₁ = 2 3/4

(x - 1) = 0
x₂ = 1

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