Solve 2x^2 - (1/2)x = 0 by factorisation

|

Mathematics

Solve the following equation by factorisation:
2x² - $\dfrac{1}{2}$ x = 0

Quadratic Equations

27 Likes

Answer

Given,

$\Rightarrow 2x\Big(x - \dfrac{1}{4}\Big) = 0 \\[1em] \Rightarrow 2x = 0 \text{ or } \Big(x - \dfrac{1}{4}\Big) = 0 \\[1em] \Rightarrow x = 0 \text{ or } x = \dfrac{1}{4}.$

Hence, x = 0 or x = $\dfrac{1}{4}$ .

Answered By

18 Likes

Related Questions

Solve :
(a + b)²x² - (a + b)x - 6 = 0; a + b ≠ 0.
View Answer

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
View Answer
Find the value of k for which equation 4x² + 8x - k = 0 has real roots.
View Answer
If -2 is a root of the equation 3x² + 7x + p = 1, find the value of p. Now find the value of k so that the roots of the equation x² + k(4x + k - 1) + p = 0 are equal.
View Answer

Mathematics

Solve the following equation by factorisation:2x2 - 12\dfrac{1}{2}21​x = 0

Quadratic Equations

Answer

Related Questions

Solve :(a + b)2x2 - (a + b)x - 6 = 0; a + b ≠ 0.

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

Find the value of k for which equation 4x2 + 8x - k = 0 has real roots.

If -2 is a root of the equation 3x2 + 7x + p = 1, find the value of p. Now find the value of k so that the roots of the equation x2 + k(4x + k - 1) + p = 0 are equal.

Solve the following equation by factorisation:
2x² - $\dfrac{1}{2}$ x = 0

Solve :
(a + b)²x² - (a + b)x - 6 = 0; a + b ≠ 0.

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

Find the value of k for which equation 4x² + 8x - k = 0 has real roots.

If -2 is a root of the equation 3x² + 7x + p = 1, find the value of p. Now find the value of k so that the roots of the equation x² + k(4x + k - 1) + p = 0 are equal.