Advertisements
Advertisements
प्रश्न
Solve for x: `sqrt(3x^2)-2sqrt(2)x-2sqrt3=0`
Advertisements
उत्तर
`sqrt(3x^2)-2sqrt(2)x-2sqrt3=0`
Hencea= `Hence a=sqrt3, b=-2sqrt2,c=-2sqrt3`
`x=(-(-2sqrt2)+-sqrt((-2sqrt2)^2-4xxsqrt3xx(-2sqrt3)))/(2xxsqrt3)`
`=(2sqrt2+-sqrt(8+24))/(2sqrt3)`
`=(2sqrt2+-sqrt32)/(2sqrt3)`
`=(2sqrt2+-4sqrt2)/(2sqrt3)`
`=(2sqrt2+4sqrt2)/(2sqrt3),(2sqrt2-4sqrt2)/(2sqrt3)`
`=(3sqrt2)/(2sqrt3),(-2sqrt2)/(2sqrt3)`
`x=sqrt6,-sqrt(2/3)`
संबंधित प्रश्न
Find that non-zero value of k, for which the quadratic equation kx2 + 1 − 2(k − 1)x + x2 = 0 has equal roots. Hence find the roots of the equation.
Find the values of k for which the roots are real and equal in each of the following equation:
kx2 + 4x + 1 = 0
Find the value of the discriminant in the following quadratic equation :
x2 +2x+4=0
Solve the following quadratic equation using formula method only
`5/4 "x"^2 - 2 sqrt 5 "x" + 4 = 0`
In each of the following determine the; value of k for which the given value is a solution of the equation:
3x2 + 2kx - 3 = 0; x = `-(1)/(2)`
If x = 2 and x = 3 are roots of the equation 3x² – 2kx + 2m = 0. Find the values of k and m.
Find the discriminant of the following equations and hence find the nature of roots: 7x2 + 8x + 2 = 0
Choose the correct alternative answer for the following sub questions and write the correct alphabet.
If the root of the given quadratic equation are real and equal, then find the value of ‘k’ X2 + 2X + k = 0
Complete the following activity to find the value of discriminant for quadratic equation 4x2 – 5x + 3 = 0.
Activity: 4x2 – 5x + 3 = 0
a = 4 , b = ______ , c = 3
b2 – 4ac = (– 5)2 – (______) × 4 × 3
= ( ______ ) – 48
b2 – 4ac = ______
State whether the following quadratic equation have two distinct real roots. Justify your answer.
x(1 – x) – 2 = 0
