Advertisements
Advertisements
प्रश्न
Solve any two of the following.
Form a quadratic equation whose roots are 4 and -12.
उत्तर
`α=4 and β =-12`
∴ `α++β=4+(-12)=-8`
` αβ=4xx(-12)=-48`
`x^2-(α+β)x+αβ=0`
`x^2-(-8)x+(-48)=0`
`x^2+8x-48=0`
APPEARS IN
संबंधित प्रश्न
Solve the following quadratic equation by using formula method :
2x2 - 3x = 2
In the following, determine whether the given values are solutions of the given equation or not:
`x^2 - 3sqrt3x+6=0`, `x=sqrt3`, `x=-2sqrt3`
A cottage industry produces a certain number of toys in a day. The cost of production of each toy (in rupees) was found to be 55 minus the number of articles produced in a day. On a particular day, the total cost of production was Rs. 750. If x denotes the number of toys produced that day, form the quadratic equation fo find x.
2x2 – 9x + 10 = 0, When
(1) x∈ N
(2) x∈ Q
Find the quadratic equation, whose solution set is: {-2, 3}
If quadratic equation x2 – (m + 1) x + 6=0 has one root as x =3; find the value of m and the root of the equation
Solve the following equation using the formula:
x2 – 6x = 27
Solve the following equation using the formula:
x2 + 2x – 6 = 0
Solve the following equation using the formula:
`4/x - 3 = 5/(2x + 3)`
`6x^2+x--12=0`
Find which of the following equations are quadratic:
5x2 – 8x = –3(7 – 2x)
One root of the quadratic equation 8x2 + mx + 15 = 0 is `3/4`. Find the value of m. Also, find the other root of the equation.
Solve, using formula:
x2 + x – (a + 2)(a + 1) = 0
3a2x2 + 8abx + 4b2 = 0
In each of the following find the values of k of which the given value is a solution of the given equation:
x2 + 3ax + k = 0; x = a.
Check whether the following are quadratic equations: `x^2 + (1)/(x^2) = 3, x ≠ 0`
Solve the following equation by using formula:
`x - (1)/x = 3, x ≠ 0`
A bi-quadratic equation has degree:
A train travels a distance of 90 km at a constant speed. Had the speed been 15 km/h more, it would have taken 30 minutes less for the journey. Find the original speed of the train.
If x2 – 2x – 3 = 0; values of x correct to two significant figures are ______.
