Advertisements
Advertisements
Question
Solve the following quadratic equation using formula method only
6x2 + 7x - 10 = 0
Advertisements
Solution
6x2 + 7x - 10 = 0
a = 6 ; b = 7 ; c = -10
D = b2 - 4ac
= (7)2 - 4(6)(-10)
= 49 + 240
= 289
x = `(- "b" ± sqrt ("b"^2 - 4 "ac"))/(2a)`
x = `(-7 +- sqrt 289)/12`
APPEARS IN
RELATED QUESTIONS
Solve the following quadratic equation by Factorisation method: x2 + 7x + 10 = 0
If 1 is a root of the quadratic equation \[3 x^2 + ax - 2 = 0\] and the quadratic equation \[a( x^2 + 6x) - b = 0\] has equal roots, find the value of b.
The number of quadratic equations having real roots and which do not change by squaring their roots is
Solve the following equation: `("a+b")^2 "x"^2 - 4 "abx" - ("a - b")^2 = 0`
Car A travels x km for every litre of petrol, while car B travels (x + 5) km for every litre of petrol.
Write down the number of litres of petrol used by car A and car B in covering a distance of 400 km.
Solve the following equation by factorization
`(1)/(7)(3x – 5)^2`= 28
Solve the following equation by factorization
`sqrt(3)x^2 + 10x + 7sqrt(3)` = 0
If twice the area of a smaller square is subtracted from the area of a larger square, the result is 14 cm2. However, if twice the area of the larger square is added to three times the area of the smaller square, the result is 203 cm2. Determine the sides of the two squares.
Solve the following equation by factorisation :
x2 + 6x – 16 = 0
A train, travelling at a uniform speed for 360 km, would have taken 48 minutes less to travel the same distance if its speed were 5 km/h more. Find the original speed of the train.
