Advertisements
Advertisements
Question
Write the discriminant of the following quadratic equations:
2x2 - 5x + 3 = 0
Solution
We have been given, 2x2 - 5x + 3 = 0
Now we also know that for an equation , the ax2 + bx + c = 0 discriminant is given by the following equation:
D = b2 - 4ac
Now, according to the equation given to us, we have, a = 2, b = -5 and c = 3.
Therefore, the discriminant is given as,
D = (-)2 - 4(2)(3)
= 25 - 24
= 1
Therefore, the discriminant of the equation is 1.
APPEARS IN
RELATED QUESTIONS
In the following, determine whether the given quadratic equation have real roots and if so, find the roots:
`2x^2-2sqrt6x+3=0`
In the following, determine whether the given quadratic equation have real roots and if so, find the roots:
`2x^2-2sqrt2x+1=0`
Solve for x
`(x-1)/(x-2)+(x-3)/(x-4)=3 1/3`; x ≠ 2, 4
Find the value of a and b for which `x=3/4`and `x =-2` are the roots of the equation `ax^2+bx-6=0`
`4sqrt3x^2+5x-2sqrt3=0`
`x^2+x+2=0`
`x+1/x=3,x≠0`
`36x^2-12ax+(a^2-b^2)=0`
`x^2-4ax-b^2+4a^2=0`
Find the value of p for which the quadratic equation `(2p+1)x^2-(7p+2)x+(7p-3)=0` has real and equal roots.
