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Answer:
21/4 = 5.25
Step-by-step explanation:
You want the sum of the x-values that are solutions to ...
21x -4x² = 5
4x² -21x +5 = 0 . . . . . subtract the left side, rearrange to standard form
x² -(21/4)x +5/4 = 0 . . . divide by 4
In this form the sum of the x-values that solve this equation is the opposite of the x-coefficient. That sum will be 21/4 = 5.25. (The attached graph confirms this result.)
_____
Consider a quadratic with roots p and q. It factors as ...
(x -p)(x -q) = 0 = x² -(p+q)x +pq
That is, the x-coefficient is the opposite of the sum of the roots p and q.
<h2><u>Anѕwєr :</u></h2>
45°
<h2><u>Explαnαtion :</u></h2>- Angle 1 = 37° [Vertically Opposite Angles]
Now,
→ Angle 1 + (36° + x°) = 118° [Exterior Angle Property of ∆]
→ 37° + 36° + x° = 118°
→ 73° + x° = 118°
→ x° = 118° – 73°
→ x° = 45°
∴ The value of x is 45°.