Advertisements
Advertisements
प्रश्न
Solve the following quadratic equation using formula method only
`"x"^2 + 1/2 "x" = 3`
Advertisements
उत्तर
`"x"^2 + 1/2 "x" = 3`
2x2 + x = 6
2x2 + x - 6 = 0
a = 2 ; b = 1 ; c = -6
D = b2 - 4ac
= (1)2 - 4(2)(-6)
= 1 + 48
= 49
x = `(- "b" ± sqrt ("b"^2 - 4 "ac"))/(2a)`
x = `(-1 +- sqrt 49)/4`
x = `(- 1 + 7)/4` , x = `(- 1 - 7)/4`
x = `6/4` , x = `-8/4`
x = `3/2` , x = - 2
APPEARS IN
संबंधित प्रश्न
Solve the following quadratic equation using formula method only :
`2x + 5 sqrt 3x +6= 0 `
Solve the following quadratic equation using formula method only
`"x"^2 + 1/2 "x" - 1 = 0`
Find if x = – 1 is a root of the equation 2x² – 3x + 1 = 0.
Choose the correct answer from the given four options :
The value(s) of k for which the quadratic equation 2x² – kx + k = 0 has equal roots is (are)
Choose the correct answer from the given four options :
If the equation {k + 1)x² – 2(k – 1)x + 1 = 0 has equal roots, then the values of k are
Discuss the nature of the roots of the following equation: `sqrt(3)x^2 - 2x - sqrt(3)` = 0
The roots of the quadratic equation `2"x"^2 - 2sqrt2"x" + 1 = 0` are:
Which of the following equations has the sum of its roots as 3?
Find the roots of the quadratic equation by using the quadratic formula in the following:
–3x2 + 5x + 12 = 0
The roots of quadratic equation x2 – 1 = 0 are ______.
