Advertisements
Advertisements
Question
Find the roots of the quadratic equation by using the quadratic formula in the following:
5x2 + 13x + 8 = 0
Solution
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 = `(-13 +- sqrt((-13)^2 - 4(5)(8)))/(2(5))`
= `(-13 +- sqrt(9))/10`
= `(-13 +- 3)/10`
= `-1, - 8/5`
APPEARS IN
RELATED QUESTIONS
If -5 is a root of the quadratic equation 2x2 + px – 15 = 0 and the quadratic equation p(x2 + x)k = 0 has equal roots, find the value of k.
Find the values of k for which the roots are real and equal in each of the following equation:
5x2 - 4x + 2 + k(4x2 - 2x - 1) = 0
Find the values of k for which the roots are real and equal in each of the following equation:
x2 - 4kx + k = 0
Determine the nature of the roots of the following quadratic equation :
2x2 -3x+ 4= 0
Solve the following quadratic equation using formula method only
x2 - 4x - 1 = 0
Solve the following quadratic equation using formula method only
`sqrt 3 "x"^2 + 10 "x" - 8 sqrt 3 = 0`
Find the value of k for which the following equation has equal roots:
(k − 12)x2 + 2(k − 12)x + 2 = 0.
Find the values of k for which each of the following quadratic equation has equal roots: 9x2 + kx + 1 = 0 Also, find the roots for those values of k in each case.
Discuss the nature of the roots of the following equation: `5x^2 - 6sqrt(5)x + 9` = 0
The roots of the equation (b – c) x2 + (c – a) x + (a – b) = 0 are equal, then:
