In this exercise, we want to know the x-intercepts of each item. To find the x-intercepts, set y = 0 as indicated in each item and solve for x. So:
<h2>1. Answer:</h2>B. x=-1; x=-1.75
<h3>Step by step explanation:</h3>we have the equation:
We can say that this equation comes from the function so we have set
to find the x-intercepts. By using the quadratic formula we have:
B. x=-1; x=-1.75
<h3>Step by step explanation:</h3>we have the equation:
We can establish a function and say that we want to find the x-intercepts of this function by setting y = 0. Therefore, by using the quadratic formula we have:
H. No Solution
<h3>Step by step explanation:</h3>we have the equation:
We can establish a function and say that we want to find the x-intercepts of this function by setting y = 0. Therefore, by using the quadratic formula we have:
Since 16 - 24 = -8, that is, a number less than zero which is within a square root, we say that the equation has no any real solution.
E. x=1
<h3>Step by step explanation:</h3>we have the equation:
We can establish a function . By setting y = 0 we'll find the x-intercepts. Let's solve this problem using other method. You can find some binomial products having a special form. So it's easier to find a solution by using distributive. The form of this polynomial is a Square of a Binomial in the form:
Therefore, the value that satisfies this equation is
K. x = -1
<h3>Step by step explanation:</h3>we have the equation:
We can establish a function . By setting y = 0 we'll find the x-intercepts. We are going to solve this problem by using the previous method. The form of this Square of a Binomial is:
Therefore, the value that satisfies this equation is
N) x = 1/2
<h3>Step by step explanation:</h3>we have the equation:
We can establish a function and say that we want to find the x-intercepts of this function by setting y = 0. Here we will use the quadratic formula, so:
So we have just one solution.
<h2>7. Answer:</h2>M) x = -1/2
<h3>Step by step explanation:</h3>we have the equation:
We can establish a function and say that we want to find the x-intercepts of this function by setting y = 0. As in the previous exercise, we will use the quadratic formula, so:
So we have just one solution.
<h2>8. Answer:</h2>D) x = -1.45; x=1.25
<h3>Step by step explanation:</h3>we have the equation:
We can establish a function and say that we want to find the x-intercepts of this function by setting y = 0. By using the quadratic formula we can solve this problem, so:
J) x = 4; x=-3
<h3>Step by step explanation:</h3>we have the equation:
We can establish a function and say that we want to find the x-intercepts of this function by setting y = 0. In this exercise we'll use other method. Since this is a non-perfect square trinomial, we know that:
So let's find two numbers such that the sum is -1 and the product is -12. Those numbers are -4 and 3, thus:
Therefore, our solutions are:
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<h3>THE OTHER SOLUTIONS HAVE BEEN ATTACHED BELOW</h3>