Determine the nature of the roots of the following equatins : (a) `x^(3) + 2x +4 = 0` (b) `3x^(2) - 10x + 3 = 0` (c ) `x^(2) - 24x + 144 = 0`

Determine the nature of the roots of the following equatins :
(a) `x^(3) + 2x +4 = 0`
(b) `3x^(2) - 10x + 3 = 0`
(c ) `x^(2) - 24x + 144 = 0`

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

Salim Ahmed Kawsar

Correct Answer - (a) Complex conjugates
(b) Real and distinct
(c ) Real equal

4 views Answered 2023-02-05 15:29

Related Questions

Which of the following is the solution of 6x – 2y = 0 and 10x + 2y = 32 ?

2 Answers 4 Views

Each side of an equilateral triand 12 is \( 24 cm \) the mid - point of its sides are joined to form another tranpla this brress is doins centinuously infinite 46. The perimeter of 7 th triangle is \( ( \) in \( cm ) \) a) \( \frac{3}{4} \) b) \( \frac{5}{8} \) c) \( \frac{9}{8} \) d) \( \frac{7}{8} \) 47. The sum of perimeter of all triangle is (in \( cm \) ) a) 144 b) 625 c) 400 d) 169 48. The area of all the triangle is (in sq cm) a) 576 b) \( 144 \sqrt{3} \) c) \( 169 \sqrt{3} \) d) \( 192 \sqrt{3} \) 49. The sum of perimeter of first 6 triangle is (in \( cm \) ) a) 120 b) \( \frac{567}{4} \) c) \( \frac{569}{4} \) d) 144 50. The side of the 5th triangle is (in \( cm \) ) a) 6 b) \( 1.5 \) c) \( 0.75 \) d) 3

2 Answers 5 Views

Let `log_(10)2=a` and `log_(10)3=b` determine the following in term of `a` and `b` `(i) log_(4)100+2log_(27)100` `(ii) log_(144)sqrt(45)`

2 Answers 5 Views

Check whether the following are perfect squares or not : (a) `64x^(2) + 81y^(2) - 144 xy` (b) `4x^(2) + 8y^(2) + 16 xy`

2 Answers 5 Views

Integrate the following (1)`intx^(-3/2)dx` (2)`intsin60^(@)dx` (3)`int(1)/(10x)dx` (4)`int(2x^(3)-x^(2)+1)dx`

2 Answers 5 Views

Find the intervals on which each of the following functions is (a) increasing (b) decreasing `f(x) = 2x^(3) - 24x + 5`

2 Answers 5 Views

4. The value of \( \left(\frac{1}{2}\right)^{-2}+\left(\frac{1}{3}\right)^{-2}+\left(\frac{1}{4}\right)^{-2} \) is (a) \( \frac{61}{144} \) (b) \( \frac{144}{61} \) (c) 29 (d) none of these

2 Answers 4 Views

Find the roots of each of the following equations, if they exist, by applying the quadratic formula: `16x^(2)=24x+1`

2 Answers 4 Views

In the following, determine whether the given quadratic equations have real roots and if so, find the roots: `2x^2-2sqrt(6)x+3=0` (ii) `3a^2x^2+8a b x

2 Answers 5 Views

Find the nature of the roots of the following quadratic equations: (i) `2x^(2)-8x+5=0" "(ii)" "3x^(2)-2sqrt(6)x+2=0` (iii)`5x^(2)-4x+1=0" "(iv)" "5x(x

2 Answers 4 Views

এক্সাম দিয়ে মেধা যাচাই করুন

Job Preparation (1125)

Admission (754)

এসএসসি (10)

এইচএসসি (5)