Advertisements
Advertisements
प्रश्न
`10x -(1)/x` = 3
Advertisements
उत्तर
`10x -(1)/x` = 3
⇒ `(10x^2 - 1)/x` = 3
⇒ 10x2 - 3x -1 = 0
⇒ 10x2 - 5x + 2x - 1 = 0
⇒ 5x(2x - 1) + 1(2x - 1) = 0
⇒ (2x - 1)(5x + 1) = 0
⇒ 2x - 1 = 0 or 5x + 1 = 0
x = `(1)/(2)` or x = `- (1)/(5)` are two roots of the equation.
संबंधित प्रश्न
Find the value of p, for which one root of the quadratic equation px2 – 14x + 8 = 0 is 6 times the other.
Show that the equation 2(a2 + b2)x2 + 2(a + b)x + 1 = 0 has no real roots, when a ≠ b.
Without solving the following quadratic equation, find the value of 'm' for which the given equation has real and equal roots.
x2 + 2(m – 1)x + (m + 5) = 0
In each of the following, determine whether the given numbers are roots of the given equations or not; 6x2 – x – 2 = 0; `(-1)/(2), (2)/(3)`
Find the value(s) of k for which each of the following quadratic equation has equal roots: (k + 4)x2 + (k + 1)x + 1 =0 Also, find the roots for that value (s) of k in each case.
If one root of the quadratic equation 2x2 + kx – 6 = 0 is 2, the value of k is:
If `1/2` is a root of the equation `"x"^2 + "kx" - (5/4)` = 0 then the value of k is:
State whether the following quadratic equation have two distinct real roots. Justify your answer.
2x2 + x – 1 = 0
State whether the following quadratic equation have two distinct real roots. Justify your answer.
(x + 1)(x – 2) + x = 0
Find the value of ‘p’ for which the quadratic equation px(x – 2) + 6 = 0 has two equal real roots.
