Advertisements
Advertisements
प्रश्न
`x^2-6x+3=0`
Advertisements
उत्तर
`x^2-6x+3=0`
⇒`x^2-6x=-3`
⇒`x^2-2xx x xx3+3^2=-3+3^2` (Adding `3^2` on both sides)
⇒`(x-3)^2=-3+9=6`
⇒`x-3=+-sqrt6` (Taking square root on the both sides)
⇒`x-3=sqrt6 or x-3=-sqrt6`
⇒`x=3+-sqrt6 or x=3-sqrt6`
Hence, `3+sqrt6 and 3-sqrt6` are the roots of the given equation.
APPEARS IN
संबंधित प्रश्न
The altitude of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm, find the other two sides.
Solve the following quadratic equations by factorization:
`x^2+(a+1/a)x+1=0`
Solve the following quadratic equations by factorization:
a2b2x2 + b2x - a2x - 1 = 0
Solve the following quadratic equations by factorization:
`1/x-1/(x-2)=3` , x ≠ 0, 2
A passenger train takes one hour less for a journey of 150 km if its speed is increased by 5 km/hr from its usual speed. Find the usual speed of the train.
Solve:
`1/p + 1/q + 1/x = 1/(x + p + q)`
Find the tow consecutive positive odd integer whose product s 483.
Determine whether the values given against the quadratic equation are the roots of the equation.
2m2 – 5m = 0, m = 2, `5/2`
Solve the following quadratic equations by factorization: \[2 x^2 + ax - a^2 = 0\]
Find the values of k for which the roots are real and equal in each of the following equation:
\[4 x^2 + px + 3 = 0\]
Write the sum of real roots of the equation x2 + |x| − 6 = 0.
The value of c for which the equation ax2 + 2bx + c = 0 has equal roots is
If one root the equation 2x2 + kx + 4 = 0 is 2, then the other root is
If y = 1 is a common root of the equations \[a y^2 + ay + 3 = 0 \text { and } y^2 + y + b = 0\], then ab equals
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`
Solve the following equation :
`("x" - 1)/("x" - 2) + ("x" - 3)/("x" - 4) = 3 1/3`
Solve the following quadratic equation using formula method only
x2 - 7x - 5 = 0
Solve the following equation by factorization
3(y2 – 6) = y(y + 7) – 3
If the sum of the roots of the quadratic equation ky2 – 11y + (k – 23) = 0 is `13/21` more than the product of the roots, then find the value of k.
