Advertisements
Advertisements
प्रश्न
In each of the following determine whether the given values are solutions of the equation or not.
x2 + x + 1 = 0; x = 1, x = -1.
Advertisements
उत्तर
Given equation is
x2 + x + 1 = 0; x = 1, x = -1
Substitute x = 1 in L.H.S.
L.H.S. = (1)2 + (1) + 1
= 3 ≠ R.H.S. ≠ 0
Hence, x = 1 is not a solution of the given equation.
Now substitute x = -1 in L.H.S.
L.H.S. = (-1)2 + (-1) + 1
= 1 - 1 + 1
= 1 ≠ R.H.S. ≠ 0
Hence, x = -1 is not a solution of the given equation.
संबंधित प्रश्न
Solve the following quadratic equations
(i) 7x2 = 8 – 10x
(ii) 3(x2 – 4) = 5x
(iii) x(x + 1) + (x + 2) (x + 3) = 42
The time taken by a person to cover 150 km was 2.5 hrs more than the time taken in the return journey. If he returned at a speed of 10 km/hr more than the speed of going, what was the speed per hour in each direction?
If \[\left( a^2 + b^2 \right) x^2 + 2\left( ab + bd \right)x + c^2 + d^2 = 0\] has no real roots, then
Solve the following equation:
(2x+3) (3x-7) = 0
Solve the following equation: `"a"/("x" - "a") + "b"/("x" - "b") = (2"c")/("x" - "c")`
A two digit number is such that the product of the digits is 14. When 45 is added to the number, then the digit are reversed. Find the number.
If `sqrt (2/3)` is a solution of equation 3x2 + mx + 2 = 0, find the value of m.
Find two consecutive positive even integers whose squares have the sum 340.
Solve the following equation by factorization
`(1)/(7)(3x – 5)^2`= 28
Solve the following equation by factorization
2x2 – 8x – 24 = 0 when x∈I
