Answer:
x ∈ {-5, -1}
Step-by-step explanation:
Here's the solution using the quadratic formula:

The real zeros are -5 and -1.
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There are many ways to check your answer. One of them is to look at the given quadratic, which has no changes of sign in its coefficients. (They are all positive.) That means there can be no positive real roots, so already you know that x=0.5 won't work.
Also, the constant in the quadratic is the product of the roots, For your roots, their product is -7/4, so even multiplying by 4 (the leading coefficient in the given quadratic), you don't get anything like 20.
if u download photomath and take a picture of each problem it will give u a solution to each problem along with the steps of how they got that answer
Since the first line passes thru the origin, you can read off its slope from the coordinates of the other point (3,2): the slope is m = 2/3.
A line perpendicular to the first has slope -3/2, the negative reciprocal of 2/3.
Thus, the perpendicular line is y = (-3/2)x + b. Subbing 0 for y and 0 for x, we get b = 0. Therefore, the equation of this new line is y = (-3/2)x.