Answer:
The quadratic equation has two complex solutions.
Step-by-step explanation:
5x² + 6x + 2 = 0
To know the the correct answer to the question, we shall determine the discriminant of the equation. This can be obtained as follow:
5x² + 6x + 2 = 0
ax² + bx + c = 0
Comparing the above equation, we can obtain:
a = 5
b = 6
c = 2
Discriminant (D) =?
D = b² – 4ac
D = 6² – (4 × 5 × 2)
D = 36 – 40
D = – 4
Since the discriminant of the equation is less than 0, it means that the equation has no real root ( i.e the equation has two complex solution).
You can use powers of ten
The values of the missing sides is DE = 12 and AC = 6.5
<h3>
Similar triangles</h3>
Two triangles are said to be similar if the ratio of their corresponding sides are in the same proportion. Also all the corresponding angles are congruent.
Using Pythagoras:
AC² = AB² + BC²
AC² = 2.5² + 6²
AC = 6.5
Using similar triangles:
BC / DE = AB / EF
6/DE = 2.5/5
DE = 12
The values of the missing sides is DE = 12 and AC = 6.5
Find out more on Similar triangles at: brainly.com/question/14285697
If the first expression reads x(cube) • x(cube) • x(cube) and x(cube • cube <span>• cube), then the answer is no. They are not equal.
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x(cube) • x(cube) <span>• x(cube) will be equivalent to x(to the 9th power) while </span>x(cube • cube <span>• cube) will be equivalent to x( to the 27th power). </span><span>
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X = 5. Using the pythagreom theorem, a²+b²=c², to solve x we put in the numbers into the equation getting a²+12²=13². Then solve for a. a²=25, 5·5=25, a=5 which means x=5.