please solve the question no 1,2 and 3 please
Answers
Answer:
нєу!!
Step-by-step explanation:
1. The perpendicular distance is 4.5 .
2. For a quadratic equation ax² + bx + c =0, the term b² - 4ac is called discriminant (D) of the quadratic equation because it determines whether the quadratic equation has real roots or not ( nature of roots).
D= b² - 4ac
So a quadratic equation ax² + bx + c =0, has
i) Two distinct real roots, if b² - 4ac >0 , then x= -b/2a + √D/2a &x= -b/2a - √D/2a
ii) Two equal real roots, if b² - 4ac = 0 , then x= -b/2a or -b/2a
iii) No real roots, if b² - 4ac <0
SOLUTION:
Given: 3x² – 4√3x + 4 = 0
On Comparing it with ax² + bx + c = 0, we get
a = 3, b = -4√3 and c = 4
Discriminant(D) = b² – 4ac
D= (-4√3)² – 4(3)(4)
D= 16 × 3 - 48
48 – 48 = 0
As , b² – 4ac = 0,
Hence,the given quadratic equation has real and equal roots
3. sec²@ – tan²@ = 1
(3x)² – (3/x)² = 1
9x² – 9/x² = 1
9×(x² – 1/x²) = 1
Step-by-step explanation:
1. The perpendicular distance is 4.5 .
2. For a quadratic equation ax² + bx + c =0, the term b² - 4ac is called discriminant (D) of the quadratic equation because it determines whether the quadratic equation has real roots or not ( nature of roots).
D= b² - 4ac
So a quadratic equation ax² + bx + c =0, has
i) Two distinct real roots, if b² - 4ac >0 , then x= -b/2a + √D/2a &x= -b/2a - √D/2a
ii) Two equal real roots, if b² - 4ac = 0 , then x= -b/2a or -b/2a
iii) No real roots, if b² - 4ac <0
SOLUTION:
Given: 3x² – 4√3x + 4 = 0
On Comparing it with ax² + bx + c = 0, we get
a = 3, b = -4√3 and c = 4
Discriminant(D) = b² – 4ac
D= (-4√3)² – 4(3)(4)
D= 16 × 3 - 48
48 – 48 = 0
As , b² – 4ac = 0,
Hence,the given quadratic equation has real and equal roots
3. sec²@ – tan²@ = 1
(3x)² – (3/x)² = 1
9x² – 9/x² = 1
9×(x² – 1/x²) = 1
hope it helps u❤️❤️