Hey can you please help me posted picture of question :)
2 answers:
Answer:
The roots are -3+√6 and -3-√6
Explanation:
First, we would need to put the equation in standard form which is as follows:
ax² + bx + c = 0
This can be done as follows:
x² + 6x + 9 - 6 = 0
x² + 6x + 3 = 0
By comparison:
a = 1
b = 6
c = 3
Now, to get the roots, we will need to used the quadratic formula shown in the attached image.
By substitution, we would find that:
either x = -3 + √6
or x = -3 - √6
Hope this helps :)
The roots are -3+√6 and -3-√6
Explanation:
First, we would need to put the equation in standard form which is as follows:
ax² + bx + c = 0
This can be done as follows:
x² + 6x + 9 - 6 = 0
x² + 6x + 3 = 0
By comparison:
a = 1
b = 6
c = 3
Now, to get the roots, we will need to used the quadratic formula shown in the attached image.
By substitution, we would find that:
either x = -3 + √6
or x = -3 - √6
Hope this helps :)
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The trigonometric ratios show that the angle FHE is 48.59°.
<h3>RIGHT TRIANGLE</h3>
A triangle is classified as a right triangle when it presents one of your angles equal to 90º. The greatest side of a right triangle is called hypotenuse. And, the other two sides are called cathetus or legs.
The math tools applied for finding angles or sides in a right triangle are the trigonometric ratios or the Pythagorean Theorem.
The Pythagorean Theorem says: . And the main trigonometric ratios are:
It is important to remember that the sum of internal angles for any triangle is 180°.
From the question, it is possible to see 2 right triangles (HGF and FHE).
You can find the hypotenuse of the triangle HGF from the trigonometric ratio: sen Θ
The hypotenuse of triangle HGF is one of legs for the triangle FHE. The, you can find the angle FHE from the trigonometric ratio: tan β. Thus,
Learn more about trigonometric ratios here:
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