• If $$\Large x^{2}-3x+1=0$$ find the value of $$\Large x+\frac{1}{x}$$
 A) 0 B) 3 C) 2 D) 1

 B) 3

Given equation is

$$\Large x^{2}-3x+1=0 => x^{2}+1=3x$$

= $$\Large \frac{x^{2}+1}{x}=3$$

= $$\Large \frac{x^{2}}{x}+\frac{1}{x}=3$$

Therefore, $$\Large x+\frac{1}{x}=3$$

##### Similar Questions
1). If $$\Large 2x^{2}+12x+18=0$$, what is the value of x ?
 A). 3 B). 2 C). -3 D). -2
2). If one root of $$\Large x^{2}-6kx+5=0$$ is 5, find the value of k.
 A). $$\Large -\frac{1}{2}$$ B). -1 C). 1 D). 2
3). If one of the roots of quadratic equation $$\Large 7x^{2}-50x+k=0$$ is 7, then what is the value of k?
 A). 7 B). 1 C). $$\Large \frac{50}{7}$$ D). $$\Large \frac{7}{50}$$
4). Find the roots of the equation $$\Large 2x^{2}-11x+15=0$$
 A). $$\Large 3 \ and \ \frac{5}{2}$$ B). $$\Large -3 \ and \ -\frac{5}{2}$$ C). $$\Large 5 \ and \ \frac{3}{2}$$ D). $$\Large -5 \ and \ -\frac{3}{2}$$
5). The quadratic equation whose roots are 3 and -1, is
 A). $$\Large x^{2}-4x+3=0$$ B). $$\Large x^{2}-2x-3=0$$ C). $$\Large x^{2}+2x-3=0$$ D). $$\Large x^{2}+4x+3=0$$
6). $$\Large x^{2}+x-20=0; y^{2}-y-30=0$$
 A). If x>y B). $$\Large If \ x \ge y$$ C). lfx D). $$\Large If \ x \le y$$
7). $$\Large 225x^{2}-4=0; \sqrt{225y}+2=0$$
 A). If x>y B). $$\Large If \ x\ge y$$ C). lfx D). If x = y or relation cannot be established
8). $$\Large \frac{4}{\sqrt{x}}+\frac{7}{\sqrt{x}}=\sqrt{x;}$$ $$\Large y^{2}-\frac{ \left(11\right)^{\frac{5}{2}} }{\sqrt{y}} =0$$
 A). If x>y B). $$\Large If \ x\ge y$$ C). lfx D). If x = y or relation cannot be established
9). $$\Large x^{2}-365=364; y-\sqrt{324}=\sqrt{81}$$
 A). If x>y B). $$\Large If \ x \ge y$$ C). lfx D). $$\Large If \ x \le y$$
10). $$\Large 3x^{2}+8x+4=0; 4y^{2}-19y+12=0$$
 A). If x>y B). $$\Large If \ x\ge y$$ C). lfx D). $$\Large If \ x \le y$$