Is x=-2 a solution of the equation x²-2x+8=0?

2

(a)

Check whether the following equation is quadratic or not: : (x-1)(x=2)=x+3

2

(a)

Is x=-4 a solution of the equation 2x²+5x-12=0

2

(a)

Find the roots of the following quadratic equations by fractorisation: \(2x^2-x+{1\over 8}=0\)

2

(a)

Find the roots of the following quadratic equations by applying the quadratic formula: 2x²+x-4=0

2

(a)

Solve the following equation using by quadratic formula : x²+5x+5=0

2

(a)

Solve for x: 4x²-2(a²+b²)x+a²b²=0

2

(a)

Find the values of a and b, if the sum and the product of the roots of the equation 4ax²+4bx+3=0 are 1/2 and 3/16 respectively.

2

(a)

Find the value of \(\alpha\) such that the quadratic equation \((\alpha-12)x^2+2(\alpha-12)x+2=0\) has equal roots.

2

(a)

Solve for x: \(\sqrt{2x+9}+x=13\)

2

(a)

Two consecutive positive even integers, the sum of whose squares is 340, we need to find integers. Represent the above situation in the form of quadratic equation.

2

(a)

Find the roots of the quadratic equation \(x^{2} + 2 {\sqrt {2}}x - 6 = 0\) by using the quadratic formula.

2

(a)

On noticing the shortage in supply of books, a bookseller increases Rs 10 more on the selling price of the book. If the bookseller had not change the price a person can buy 10 more book for Rs 3000. Find the original selling price of the book.

2

(a)

In a class test, the sum of Gagan's marks in Maths and English is 45. If he had 1 more mark in Maths and 1 less in English, the product of marks would have been 500. Find the original marks obtained by Gagan in Maths and English separately.

2

(a)

If \(x^{2} + 3kx + 2 = 0\) has a root x = 2 , then find the value of k.

2

(a)