MCQ
If $\frac{2+3}{\text{x}}=\frac{2+\text{x}}{3}$
What one value for $x$ can be correctly entered into the answer grid?
What one value for $x$ can be correctly entered into the answer grid?
- A$-5$
- ✓$3$
- C$-3$
- D$2$
✓
Answer
Correct option: B.
$3$
Given, $\frac{2+3}{\text{x}}=\frac{2+\text{x}}{3}$
$\Rightarrow 2x + x^2 = 15$
$\Rightarrow x^2 + 2x - 15 = 0$
$\Rightarrow x^2+ 5x - 3x - 15 = 0$
$\Rightarrow x(x + 5) - 3(x + 5) = 0$
$\Rightarrow (x + 5) (x - 3) = 0$
$\Rightarrow x = -5, 3$ value of $x$ is not negative, so $x = 3.$
$\Rightarrow 2x + x^2 = 15$
$\Rightarrow x^2 + 2x - 15 = 0$
$\Rightarrow x^2+ 5x - 3x - 15 = 0$
$\Rightarrow x(x + 5) - 3(x + 5) = 0$
$\Rightarrow (x + 5) (x - 3) = 0$
$\Rightarrow x = -5, 3$ value of $x$ is not negative, so $x = 3.$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Mark the correct alternative in the following:
What is the multiplicative identity element in the set of whole numbers?
What is the multiplicative identity element in the set of whole numbers?
Which of the following fractions is greater than $\frac{3}{4}$ and less than$\frac{5}{6}$:
→The value of $0.234$ is:
→$3\frac{1}{2}\text{m}$ of cloth $Rs. 168$, find the cost of $4\frac{1}{3}\text{m}$ of the same cloth.
→Evaluate $34 + 67 - 104$
→What is the number of lines of symmetry for the following shape?
By how much is ${\dfrac{3}{4}^{\text{th}}}$of 568 lesser than ${\dfrac{7}{8}^\text{th}}$ of $1008.$
→If a diagonal of a rectangle is thrice its smaller side, then its length and breadth are in the ratio.
Identify the number of constants in the expression $5x^3 - 8xy.$
→The perimeter of the triangle shown in Fig. is:
