Advertisements
Advertisements
प्रश्न
Solve the following quadratic equation by formula method
2x2 – 5x + 2 = 0
उत्तर
a = 2, b = -5, c = 2
x = `(-"b" ± sqrt("b"^2 - 4"ac"))/(2"a")`
= `(5 ± sqrt(25 - 4(2)(2)))/4`
= `(5 ± sqrt(25 - 16))/4`
= `(5 ± sqrt(9))/4`
= `(5 ± 3)/4`
= `(5 + 3)/4` or `(5 - 3)/4`
= `(8)/(4)` or `(2)/(4)` = 2 or `(1)/(2)`
The solution set is `(1)/(2)` and 2
APPEARS IN
संबंधित प्रश्न
Determine the quadratic equation, whose sum and product of roots are `(-3)/2`, – 1
Determine the quadratic equation, whose sum and product of roots are – (2 – a)2, (a + 5)2
Find the sum and product of the roots for the following quadratic equation
x2 + 3x – 28 = 0
Solve the following quadratic equation by factorization method
`sqrt("a"("a" - 7)) = 3sqrt(2)`
Solve the following quadratic equation by completing the square method
9x2 – 12x + 4 = 0
A ball rolls down a slope and travels a distance d = t2 – 0.75t feet in t seconds. Find the time when the distance travelled by the ball is 11.25 feet
There is a square field whose side is 10 m. A square flower bed is prepared in its centre leaving a gravel path all round the flower bed. The total cost of laying the flower bed and gravelling the path at ₹ 3 and ₹ 4 per square metre respectively is ₹ 364. Find the width of the gravel path
If a, b are real then show that the roots of the equation (a – b)x2 – 6(a + b)x – 9(a – b) = 0 are real and unequal
The roots of the equation 2x2 – 7x + 5 = 0 are α and β. Without solving for the roots, find `1/alpha + 1/beta`
The roots of the equation 2x2 – 7x + 5 = 0 are α and β. Without solving for the roots, find `alpha/beta + beta/alpha`
