Advertisements
Advertisements
प्रश्न
Solve the following quadratic equation using formula method only
x2 - 4x - 1 = 0
Advertisements
उत्तर
x2 - 4x - 1 = 0
a =1 ; b = -4 ; c =-1
D = b2 - 4ac
= (-4)2 - 4(1)(-1)
= 16 + 4
= 20
x =`(- "b" ± sqrt ("b"^2 - 4 "ac"))/(2a)`
x = `(4 +- sqrt 20)/2`
x = `(4 +- 2sqrt 5)/2`
x = 2 + `sqrt 5` , x = 2 - `sqrt 5`
APPEARS IN
संबंधित प्रश्न
Without solving, examine the nature of roots of the equation 2x2 – 7x + 3 = 0
For what value of m, are the roots of the equation (3m + 1)x2 + (11 + m) x + 9 = 0 equal?
Solve the following equation:
`x - 18/x = 6` Give your answer correct to two significant figures.
Find the values of k for which the roots are real and equal in each of the following equation:
`kx^2-2sqrt5x+4=0`
Find the values of k for which the roots are real and equal in each of the following equation:
4x2 - 3kx + 1 = 0
Find the roots of the equation .`1/(2x-3)+1/(x+5)=1,x≠3/2,5`
What is the nature of roots of the quadratic equation 4x2 − 12x − 9 = 0?
Solve the following quadratic equation using formula method only
16x2 - 24x = 1
Complete the following activity to find the value of discriminant for quadratic equation 4x2 – 5x + 3 = 0.
Activity: 4x2 – 5x + 3 = 0
a = 4, b = ______, c = 3
b2 – 4ac = (–5)2 – (______) × 4 × 3
= ( ______ ) – 48
b2 – 4ac = ______
(x2 + 1)2 – x2 = 0 has:
