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
Solve for x : ` 2x^2+6sqrt3x-60=0`
If x = −2 is a root of the equation 3x2 + 7x + p = 1, find the values of p. Now find the value of k so that the roots of the equation x2 + k(4x + k − 1) + p = 0 are equal.
Find the value of the discriminant in the following quadratic equation :
`4 sqrt 3 "x"^2 + 5"x" - 2 sqrt 3 = 0`
Without solving the following quadratic equation, find the value of ‘p’ for which the given equation has real and equal roots:
x² + (p – 3) x + p = 0
In each of the following, determine whether the given numbers are roots of the given equations or not; x2 – 5x + 6 = 0; 2, – 3
If the difference of the roots of the equation x2 – bx + c = 0 is 1, then:
State whether the following quadratic equation have two distinct real roots. Justify your answer.
x2 – 3x + 4 = 0
The sum of all integral values of k(k ≠ 0) for which the equation `2/(x - 1), 1/(x - 2) = 2/k` in x has no real roots, is ______.
If one root of the quadratic equation x2 + 12x – k = 0 is thrice the other root, then find the value of k.
Equation 2x2 – 3x + 1 = 0 has ______.
