Advertisements
Advertisements
प्रश्न
Find if x = – 1 is a root of the equation 2x² – 3x + 1 = 0.
Advertisements
उत्तर
2x² – 3x + 1 = 0; x = -1.
Putting x = -1 in L.H.S. of equation
L.H.S. = 2(-1)2 - 3 x -1 + 1
= 2 + 3 + 1
= 6 ≠ 0 ≠ R.H.S.
Hence, x = -1 is not a root of the equation.
संबंधित प्रश्न
Find that non-zero value of k, for which the quadratic equation kx2 + 1 − 2(k − 1)x + x2 = 0 has equal roots. Hence find the roots of the equation.
The 4th term of an A.P. is 22, and the 15th term is 66. Find the first term and the common difference. Hence, find the sum of the series to 8 terms.
Find the value of the discriminant in the following quadratic equation:
2x2 - 3x + 1 = O
Form the quadratic equation whose roots are:
`2 + sqrt(5) and 2 - sqrt(5)`.
Solve the following by reducing them to quadratic equations:
z4 - 10z2 + 9 = 0.
Determine whether the given quadratic equations have equal roots and if so, find the roots:
x2 + 2x + 4 = 0
In each of the following, determine whether the given numbers are roots of the given equations or not; x2 – 5x + 6 = 0; 2, – 3
In each of the following, determine whether the given numbers are roots of the given equations or not; 3x2 – 13x – 10 = 0; 5, `(-2)/(3)`
Find the least positive value of k for which the equation x2 + kx + 4 = 0 has real roots.
Which of the following equations has two distinct real roots?
