Advertisements
Advertisements
प्रश्न
Solve the following quadratic equation using formula method only
5x2 - 19x + 17 = 0
उत्तर
5x2 - 19x + 17 = 0
a = 5 ; b = -19 ; c = 17
D = b2 - 4ac
= (-19)2 - 4(5)(17)
= 361 - 340
= 21
x = `(- "b" ± sqrt ("b"^2 - 4 "ac"))/(2a)`
x = `(19 +- sqrt 21)/10`
x = `(19 + sqrt 21)/10` , x = `(19 - sqrt 21)/10`
APPEARS IN
संबंधित प्रश्न
For what value of m, are the roots of the equation (3m + 1)x2 + (11 + m) x + 9 = 0 equal?
Solve the following quadratic equation using formula method only
`"x"^2 + 1/2 "x" - 1 = 0`
Find the value of m for which the equation (m + 4)x2 + (m + 1)x + 1 = 0 has real and equal roots.
Find, using the quadratic formula, the roots of the following quadratic equations, if they exist
x2 + 4x + 5 = 0
Without actually determining the roots comment upon the nature of the roots of each of the following equations:
3x2 + 2x - 1 = 0
In each of the following, determine whether the given numbers are roots of the given equations or not; x2 – x + 1 = 0; 1, – 1
Find the value(s) of p for which the equation 2x2 + 3x + p = 0 has real roots.
If the difference of the roots of the equation x2 – bx + c = 0 is 1, then:
If b = 0, c < 0, is it true that the roots of x2 + bx + c = 0 are numerically equal and opposite in sign? Justify.
‘The sum of the ages of a boy and his sister (in years) is 25 and product of their ages is 150. Find their present ages.
