Advertisements
Advertisements
प्रश्न
If an integer is added to its square the sum is 90. Find the integer with the help of a quadratic equation.
Advertisements
उत्तर
Let the required integer be x.
Then according to the given condition
⇒ x + x2 = 90
⇒ x2 + x - 90 = 0
⇒ x2 + 10x - 9x - 90 = 0
⇒ x(x + 10) - 9(x +10) = 0
⇒ (x +10) (x - 9) = 0
⇒ x + 10 = 0 or x - 9 = 0
⇒ x = -10 or x = 9
Hence, the required integer is 9 or -10.
संबंधित प्रश्न
Solve for x: `(x-3)/(x-4)+(x-5)/(x-6)=10/3; x!=4,6`
Solve for x
:`1/((x-1)(x-2))+1/((x-2)(x-3))=2/3` , x ≠ 1,2,3
The sum of two natural numbers is 20 while their difference is 4. Find the numbers.
Solve the following quadratic equations by factorization: \[\frac{5 + x}{5 - x} - \frac{5 - x}{5 + x} = 3\frac{3}{4}; x \neq 5, - 5\]
Find the value of k for which the following equations have real and equal roots:
\[\left( k + 1 \right) x^2 - 2\left( k - 1 \right)x + 1 = 0\]
Write the sum of real roots of the equation x2 + |x| − 6 = 0.
Show that x = −2 is a solution of 3x2 + 13x + 14 = 0.
If ax2 + bx + c = 0 has equal roots, then c =
In each of the following, determine whether the given values are solution of the given equation or not:
`x = 1/x = (13)/(6), x = (5)/(6), x = (4)/(3)`
Solve the following equation by factorization
`3x - (8)/x `= 2
