Advertisements
Advertisements
प्रश्न
Solve the following quadratic equation:
3x2 – 7x + 5 = 0
उत्तर
Given equation is 3x2 – 7x + 5 = 0
Comparing with ax2 + bx + c = 0, we get
a = 3, b = – 7, c = 5
Discriminant = b2 – 4ac
= (– 7)2 – 4 x 3 x 5
= 49 – 60 = – 11 < 0
So, the given equation has complex roots.
These roots are given by
x = `(-"b" ± sqrt("b"^2 - 4"ac"))/(2"a")`
= `(- (- 7) ± sqrt( - 11))/(2(3))`
∴ x = `(7 ± sqrt(11)"i")/6`
∴ the roots of the given equation are `(7 + sqrt(11)"i")/6 and (7 - sqrt(11)"i")/6`.
APPEARS IN
संबंधित प्रश्न
Find the values of x and y which satisfy the following equations (x, y ∈ R): (x + 2y) + (2x – 3y i + 4i = 5
Solve the following quadratic equation:
x2 – 4x + 13 = 0
Solve the following quadratic equation:
x2 + 3ix + 10 = 0
Solve the following quadratic equation:
2x2 + 3ix + 2 = 0
Solve the following quadratic equation:
x2 + 4ix – 4 = 0
Solve the following quadratic equation:
ix2 – 4x – 4i = 0
Solve the following quadratic equation:
(2 + i) x2 – (5 – i) x + 2(1 – i) = 0
Solve the following equation for x, y ∈ R:
(1 – 3i) x + (2 + 5i) y = 7 + i
Solve the following quadratic equations.
8x2 + 2x + 1 = 0
Solve the following quadratic equation.
`8"x"^2 + 2"x" + 1 = 0`
Solve the following quadratic equation.
8x2 + 2x + 1 = 0
Solve the following quadratic equation.
8x2 + 2x + 1 = 0
Solve the following quadratic equation.
8x2 + 2x + 1 = 0
Solve the following quadratic equation.
8x2 + 2x + 1 = 0
Solve the following quadratic equation.
8x2 + 2x + 1 = 0
