Advertisements
Advertisements
Question
Solve the following quadratic equation using formula method only
x2 - 6x + 4 = 0
Advertisements
Solution
x2 - 6x + 4 = 0
a = 1 ; b = - 6 ; c = 4
D = b2 - 4ac
= (-6)2 - 4(1)(4)
= 36 - 16
= 20
x = `(- "b" ± sqrt ("b"^2 - 4 "ac"))/(2a)`
x = `(6 +- sqrt 20)/2`
x = `(6 +2 sqrt 5)/2` , x = `(6 - 2 sqrt 5)/2`
x = `3 + sqrt 5` , x = `3 - sqrt 5`
APPEARS IN
RELATED QUESTIONS
Solve the following quadratic equation by Factorisation method: x2 + 7x + 10 = 0
Solve the following quadratic equations by factorization:
25x(x + 1) = -4
A two digit number is such that the product of the digits is 16. When 54 is subtracted from the number the digits are interchanged. Find the number
The sum of two natural numbers is 9 and the sum of their reciprocals is `1/2`. Find the numbers .
Write the condition to be satisfied for which equations ax2 + 2bx + c = 0 and \[b x^2 - 2\sqrt{ac}x + b = 0\] have equal roots.
If the sum of the roots of the equation \[x^2 - \left( k + 6 \right)x + 2\left( 2k - 1 \right) = 0\] is equal to half of their product, then k =
The length of the sides forming a right angle in a triangle are 5x cm and (3x-1) cm. If the area of the triangle is 60cm2, find the hypotenuse.
The perimeter of the right angled triangle is 60cm. Its hypotenuse is 25cm. Find the area of the triangle.
There is a square field whose side is 44m. A square flower bed is prepared in its centre leaving a gravel path all round the flower bed. The total cost of laying the flower bed and graving the path at Rs 2. 75 and Rs. 1.5 per square metre, respectively, is Rs 4,904. Find the width of the gravel path.
The speed of a boat in still water is 15km/ hr. It can go 30km upstream and return downstream to the original point in 4 hours 30 minutes. Find the speed of the stream.
