In any quadratic equation: ax² + bx + c = 0,
the discriminant is Δ = b² - 4.a.c
1) If Δ > 0 → we have 2 distinguished roots
2) If Δ = 0 → we have 2 EQUAL roots
3) If Δ < 0 → we have no real roots (we call the results imaginary or complex)
16x² +8x + 1 = 0
Δ = 8² - 4(16)(1) →Δ = 64 - 64 = 0
Since Δ = 0, we have 2 equal roots→ x' = x"
Solve the equation:
x' = [(-8)+√0]/2(16) = -8/32 = -1/4
x" = [(-8)-√0]/2(16) = -8/32 = -1/4
Answer: algebra?
Step-by-step explanation:
Answer:
so the answer is the third one
Option C: ∠2 and ∠8
Option E: ∠3 and ∠5
Solution:
Two parallel lines cut by a transversal.
Option A: ∠5 and ∠4
∠4 is not interior of parallel lines.
Hence it is not true.
Option B: ∠6 and ∠5
∠6 is not interior of parallel lines.
Hence it is not true.
Option C: ∠2 and ∠8
∠2 and ∠8 lies in the interior of the parallel lines.
∠2 and ∠8 lies in alternate of the transversal line.
Therefore, ∠2 and ∠8 are alternate interior angles.
Hence it is true.
Option D: ∠8 and ∠1
∠1 is not interior of parallel lines.
Hence it is not true.
Option E: ∠3 and ∠5
∠3 and ∠5 lies in the interior of the parallel lines.
∠3 and ∠5 lies in alternate of the transversal line.
Therefore, ∠3 and ∠5 are alternate interior angles.
Hence it is true.
Therefore ∠2 and ∠8, ∠3 and ∠5 are alternate interior angles.
Answer:2.a
Step-by-step explanation: