Advertisements
Advertisements
प्रश्न
Find the roots of the quadratic equation by using the quadratic formula in the following:
–3x2 + 5x + 12 = 0
उत्तर
The quadratic formula for finding the roots of quadratic equation
ax2 + bx + c = 0, a ≠ 0 is given by,
x = `(-b +- sqrt(b^2 - 4ac))/(2a)`
∴ x = `(-5 +- sqrt(5^2 - 4(-3)(12)))/(2(-3))`
= `(-5 +- sqrt(169))/(-6)`
= `(5 +- 13)/6`
= `3, -4/3`
APPEARS IN
संबंधित प्रश्न
Without solving, examine the nature of roots of the equation x2 – 5x – 2 = 0
Find the values of k for the following quadratic equation, so that they have two equal roots.
kx (x - 2) + 6 = 0
Form the quadratic equation if its roots are –3 and 4.
Find the values of k for which the roots are real and equal in each of the following equation:
4x2 + kx + 9 = 0
Find the nature of the roots of the following quadratic equations: `x^2 - (1)/(2)x - (1)/(2)` = 0
Which of the following equations has no real roots?
The roots of the quadratic equation `"x" + 1/"x" = 3`, x ≠ 0 are:
If –5 is a root of the quadratic equation 2x2 + px – 15 = 0, then:
Compare the quadratic equation `x^2 + 9sqrt(3)x + 24 = 0` to ax2 + bx + c = 0 and find the value of discriminant and hence write the nature of the roots.
Which of the following equations has two real and distinct roots?
