In coping a second degree equation the number without x was written 24 instead of – 24. the answers found were 4 and 6. What are the answers for the correct problem?

In the equation x^(2)+p x+q=0 the coefficient of x was incorrectly written as 17 insted of 13 . Then the roots were found to be -2 and -15 . The correct roots are

Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method : Yash scored 40 marks in test, getting 3 marks for each right answer and losing 1 mark for each wrong answer. Had 4 marsk been awarded for each correct answer and 2 marks been deducted for each incorrect answer, then Yash would have scored 50 marks. How many questions were there in the test ?

Form the pair of linaer equations in the following problems and find their solutions (if they exist) by any algebraic method : Yash scored 40 marks in a test, getting 3 marks for each right answer and losing 1 mark for each wrong answer. Had 4 marks been awarded for each correct answer and 2 marks been deducted for each incorrect answer, then Yash would have scored 50 marks. How many questions were there in the test ?

Form the pair of linear equations in the following problems and their solutions (if they exist) by any algebraic method. Yash scored 40 marks in a test, getting 3 marks for each right answer and losing 1 mark for each wrong answer. Had 4 marks been awarded for each correct answer and 2 marks been deducted for each incorrect answer, then Yash would have scored 50 marks. How many questions were there in the test?

Nazima is fly fishing in a stream. The tip of her fishing rod is 1.8 m above the surface of water and the fly at the end of the string rests on the water 3.6 m away and 2.4 m from a point directly under the tip of the rod. Assuming that her rod to the fly) is taut, how much string does she have out(see fig)? If she pulls in the string at the rate of 5 cm per second, what will be the heriozontal distance of the fly from her after 12 seconds.

Find the equation of the chord of x^(2)+y^(2)-6x+10y-9=0 which is bisected at (-2,4)