Download App

Quadratic Equations — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsQuadratic Equations5 Marks
Question
Solve the following quadratic equations by factorization:
$\frac{\text{x}+1}{\text{x}-1}-\frac{\text{x}-1}{\text{x}+1}=\frac{5}{6},$ $\text{x}\neq1,-1$
✓

Answer

We have been given
$\frac{\text{x}+1}{\text{x}-1}-\frac{\text{x}-1}{\text{x}+1}=\frac{5}{6}$
$6(x^2 + 1 + 2x - x^2 - 1 + 2x) = 5(x^2 - 1)$
$5x^2 - 24x - 5 = 0$
$5x^2 - 25x + x - 5 = 0$
$5x(x - 5) + 1(x - 5) = 0$
$(5x + 1)(x - 5) = 0$
Therefore,
5x + 1 = 0
5x = -1
$​\text{x}=\frac{-1}{5}$
or,
x - 5 = 0
x = 5
Hence, $​\text{x}=\frac{-1}{5}$ or x = 5

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "5 Marks Questions" from Quadratic Equations→Quadratic Equations — all question types→Maths STD 10 question papers→CBSE Board STD 10 question papers→CBSE Board question paper generator→

Similar questions

The angle of elevation of the top of an unifinished tower at a distance of 75m from its base is 30°. How much higher must the tower be raised so that the angle of elevation of its top at the same point may be 60°? $\big[\text{Take}\sqrt{3}=1.732\big]$
→
Find the values of x and y in the following rectangle.
→
The sum of ages of a father and his son is $45$ years. Five years ago, the product of their ages $($in years$)$ was $124 $. Determine their present ages.
→
If $a_n=3-4 n$, show that $a_1, a_2, a_3, \ldots \ldots .$. from an AP. also find $S_{20}$.
→
Find the roots of the quadratic equations by using the quadratic formula in each of the following:
$\text{x}^2+2\sqrt{2}\text{x}-6=0.$
→
Show that cube of any positive integer is of the form 4m, 4m + 1 or 4m + 3, for some integer m.
→
The angle of elevation of the top of a vertical tower from a point on the ground is 60º. From another point 10m vertically above the first, its angle of elevation is 45º. Find the height of the tower.
→
Find the roots of the following quadratic equation (if they exist) by the method of completing the square.
$2\text{x}^2+\text{x}+4=0$
→
Four cows are tethered at the four comers of a square field of side 50m such that each can graze the maximum unshared area. What area will be left ungrazed? $[\text{Tale }\pi=3.14]$
→
Solve for $x$ :
$\frac{1}{x+1}+\frac{3}{5 x+1}=\frac{5}{x+4}, x \neq-1,-\frac{1}{5},-4$
→