Advertisements
Advertisements
प्रश्न
Solve the following quadratic equation using formula method only
x2 - 7x - 5 = 0
उत्तर
x2 - 7x - 5 = 0
a = 1 ; b = -7 ; c = -5
D = b2 - 4 ac
= (-7)2 - 4(1)(-5)
= 49 + 20
= 69
x = `(- "b" ± sqrt ("b"^2 - 4 "ac"))/(2a)`
x = `(7 +- sqrt 69)/2`
x = `(7 + sqrt 69)/2` , x = `(7 - sqrt 69)/2`
APPEARS IN
संबंधित प्रश्न
Solve the following quadratic equations by factorization:
`sqrt2x^2-3x-2sqrt2=0`
Solve the following quadratic equations by factorization:
`x^2+(a+1/a)x+1=0`
The sum of the squares of the two consecutive odd positive integers as 394. Find them.
Solve:
`1/(x + 1) - 2/(x + 2) = 3/(x + 3) - 4/(x + 4)`
The sum of the squares to two consecutive positive odd numbers is 514. Find the numbers.
If \[x^2 + k\left( 4x + k - 1 \right) + 2 = 0\] has equal roots, then k =
Solve the following quadratic equation:
4x2 - 4ax + (a2 - b2) = 0 where a , b ∈ R.
Sum of two natural numbers is 8 and the difference of their reciprocal is 2/15. Find the numbers.
The hypotenuse of a right-angled triangle is 1 m less than twice the shortest side. If the third side is 1 m more than the shortest side, find the sides of the triangle.
Which of the following are the roots of the quadratic equation, x2 – 9x + 20 = 0 by factorisation?
