Advertisements
Advertisements
प्रश्न
Choose the correct answer from the given four options :
The roots of the equation x2 – 3x – 10 = 0 are
विकल्प
2,- 5
– 2, 5
2, 5
– 2, – 5
उत्तर
x2 – 3x – 10 = 0
x = `(-(-3) ± sqrt((-3)^2 - 4 xx 1 xx (-10)))/(2 xx 1)`
= `(3 ± sqrt(9 + 40))/(2)`
= `(3 ± sqrt(49))/(2)`
= `(3 + 7)/(2)`
∴ x = `(3 + 7)/(2)` = 5
and
x = `(3 - 7)/(2) = (-4)/(2)` = –2
x = 5, – 2 or – 2, 5.
APPEARS IN
संबंधित प्रश्न
Check whether the following is the quadratic equation:
(x – 3)(2x + 1) = x(x + 5)
Solve the following equation and give your answer correct to 3 significant figures:
5x2 – 3x – 4 = 0
Without solving, comment upon the nature of roots of the following equations
25x2 – 10x +1=0
Solve `x + 1/x = 2.5`
`10x1/x=3`
Find the value of 'p', if the following quadratic equations have equal roots:
x2 + (p − 3)x + p = 0
For what values of k does the quadratic equation 4x2 − 12x − k = 0 has no real roots?
In each of the following, determine whether the given numbers are solutions of the given equation or not: `x^2 - sqrt(2)x - 4 = 0, x = -sqrt(2),2sqrt(2)`
Solve:
`2((2x - 1)/(x + 3)) - 3((x + 3)/(2x - 1)) = 5; x ≠ -3, (1)/(2)`
If 3x2 – kx – 15 = (3x – 5)(x + 3), the value of k is ______.
