Advertisements
Advertisements
Question
Solve the following quadratic equation using formula method only
4x2 + 12x + 9 = 0
Advertisements
Solution
4x2 + 12x + 9 = 0
a = 4 ; b = 12 ; c = 9
D = b2 - 4ac
= (12)2 - 4(4)(9)
= 144 - 144
= 0
x = `(- "b" ± sqrt ("b"^2 - 4 "ac"))/(2a)`
x = `(- 12 +- 0)/8`
x = `-3/2`
APPEARS IN
RELATED QUESTIONS
Solve the following quadratic equation for x :
9x2 − 6b2x − (a4 − b4) = 0
If the roots of the equation (b – c) x2 + (c – a) x + (a – b) = 0 are equal, then prove that 2b = a + c.
`10x -(1)/x` = 3
Solve x2/3 + x1/3 - 2 = 0.
In each of the following determine the; value of k for which the given value is a solution of the equation:
kx2 + 2x - 3 = 0; x = 2
In each of the following determine the; value of k for which the given value is a solution of the equation:
3x2 + 2kx - 3 = 0; x = `-(1)/(2)`
Find the values of k so that the sum of tire roots of the quadratic equation is equal to the product of the roots in each of the following:
kx2 + 2x + 3k = 0
Discuss the nature of the roots of the following quadratic equations : -2x2 + x + 1 = 0
The roots of the quadratic equation `1/("a" + "b" + "x") = 1/"a" + 1/"b" + 1/"x"`, a + b ≠ 0 is:
Does there exist a quadratic equation whose coefficients are rational but both of its roots are irrational? Justify your answer.
