Answer:
55
Step-by-step explanation:
Answer:
a rational number
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>Simplify</u>
- 6√20 + 8√5 - 5√45 =
- 6√4(5) + 8√5 - 5√9(5) =
- 6(2)√5 + 8√5 - 5(3)√5 =
- (12 + 8 - 15)√5 =
- 5√5
Answer:
x = 220°
Step-by-step explanation:
∠AEB = ∠ABE = (180 - 80) /2 = 50 (isosceles triangle property)
∠BED = 90
x = 360 - 90 - 50 =220
The <em>quadratic</em> equation 3 · x² + 7 · x - 2 = 0 has a <em>positive</em> discriminant. Thus, the expression has two <em>distinct real</em> roots (<em>real</em> and <em>irrational</em> roots).
<h3>How to determine the characteristics of the roots of a quadratic equation by discriminant</h3>
Herein we have a <em>quadratic</em> equation of the form a · x² + b · x + c = 0, whose discriminant is:
d = b² - 4 · a · c (1)
There are three possibilities:
- d < 0 - <em>conjugated complex</em> roots.
- d = 0 - <em>equal real</em> roots (real and rational root).
- d > 0 - <em>different real</em> roots (real and irrational root).
If we know that a = 3, b = 7 and c = - 2, then the discriminant is:
d = 7² - 4 · (3) · (- 2)
d = 49 + 24
d = 73
The <em>quadratic</em> equation 3 · x² + 7 · x - 2 = 0 has a <em>positive</em> discriminant. Thus, the expression has two <em>distinct real</em> roots (<em>real</em> and <em>irrational</em> roots).
To learn more on quadratic equations: brainly.com/question/2263981
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