Advertisements
Advertisements
Question
The roots of the equation x2 + 3x – 10 = 0 are ______.
Options
2, –5
–2, 5
2, 5
–2, –5
Solution
The roots of the equation x2 + 3x – 10 = 0 are 2, –5.
Explanation:
x2 + 3x – 10 = 0
`\implies` x2 + 5x – 2x – 10 = 0
`\implies` x(x + 5) –2 (x + 5) = 0
`\implies` (x – 2) (x + 5) = 0
`\implies` x = 2 or x = – 5
RELATED QUESTIONS
Solve the following quadratic equations by factorization:
`sqrt2x^2-3x-2sqrt2=0`
Solve the following quadratic equations by factorization:
`(x-1/2)^2=4`
Solve the following quadratic equations by factorization:
`3x^2-2sqrt6x+2=0`
Find the whole numbers which when decreased by 20 is equal to 69 times the reciprocal of the members.
A train covers a distance of 90 km at a uniform speed. Had the speed been 15 km/hour more, it would have taken 30 minutes less for a journey. Find the original speed of the train.
`3x^2-x-2=0`
Find the values of k for which the roots are real and equal in each of the following equation:
\[kx\left( x - 2\sqrt{5} \right) + 10 = 0\]
Solve the following equation:
`("x" + 1)/("x" - 1) - ("x" - 1)/("x" + 1) = 5/6 , "x" ≠ -1,1`
In each of the following determine whether the given values are solutions of the equation or not.
x2 + `sqrt(2)` - 4 = 0; x = `sqrt(2)`, x = -2`sqrt(2)`
Solve the following equation by factorization
`(x - 3)/(x + 3) + (x + 3)/(x - 3) = 2(1)/(2)`
