Advertisements
Advertisements
प्रश्न
Solve the following equation: 4x2 - 13x - 12 = 0
उत्तर
4x2 - 13x - 12 = 0
`"x"^2 - 13/4 "x" - 3 = 0`
`"x"^2 - 4"x" + 3/4"x" -3 = 0`
`"x"("x" - 4) + 3/4("x" - 4) = 0`
`("x" - 4)("x" + 3/4) = 0`
(x - 4) = 0 , `("x" + 3/4) = 0`
x = 4 , x = `-3/4`
APPEARS IN
संबंधित प्रश्न
Solve the following quadratic equations by factorization:
`3x^2-2sqrt6x+2=0`
Solve the following quadratic equations by factorization:
`(x-3)/(x+3 )+(x+3)/(x-3)=2 1/2`
`8x^2-14x-15=0`
If a and b can take values 1, 2, 3, 4. Then the number of the equations of the form ax2 +bx + 1 = 0 having real roots is
Solve the following equation:
`("x" + 1)/("x" - 1) - ("x" - 1)/("x" + 1) = 5/6 , "x" ≠ -1,1`
Solve the following equation: `"a"("x"^2 + 1) - x("a"^2 + 1) = 0`
In each of the following determine whether the given values are solutions of the equation or not.
3x2 - 2x - 1 = 0; x = 1
A rectangle of area 105 cm² has its length equal to x cm. Write down its breadth in terms of x. Given that the perimeter is 44 cm, write down an equation in x and solve it to determine the dimensions of the rectangle.
A farmer wishes to grow a 100 m2 rectangular vegetable garden. Since he has with him only 30 m barbed wire, he fences three sides of the rectangular garden letting compound wall of his house act as the fourth side fence. Find the dimensions of his garden.
Find the roots of the following quadratic equation by the factorisation method:
`21x^2 - 2x + 1/21 = 0`
