Advertisements
Advertisements
प्रश्न
Solve the following equation for x and give, in the following case, your answer correct to 2 decimal places:
4x2 – 5x – 3 = 0
उत्तर
Given equation 4x2 – 5x – 3 = 0
Comparing with ax2 + bx + c = 0, we have
a = 4, b = – 5, c = – 3
∴ `x = (-b ± sqrt(b^2 - 4ac))/(2a)`
= `(-(-5) ± sqrt((-5)^2 - 4 xx 4 xx (-3)))/(2 xx 4)`
= `(5 ± sqrt(25 + 48))/(8)`
= `(5 ± sqrt(73))/(8)`
= `(5 ± 8.544)/(8)`
= `(5 + 8.544)/(8) or (5 - 8.544)/(8)`
= `(13.544)/(8) or (-3.544)/(8)`
= 1.693 or – 0.443
= 1.69 or – 0.44 ...(correct to 2 decimal places)
संबंधित प्रश्न
Solve the equation 4x2 – 5x – 3 = 0 and give your answer correct to two decimal places
Find the value of ‘K’ for which x = 3 is a solution of the quadratic equation
`(K + 2)x^2 - kx + 6 = 0`
Solve : 2(x² – 6) = 3(x – 4)
Solve `(1 + 1/(x + 1))(1-1/(x - 1)) = 7/8`
Q - 34
Solve the following equation for x and give, in the following case, your answer correct to one decimal place:
5x2 + 10x – 3 = 0
`sqrt3x^2+11x+6sqrt3=0`
`2^2x-3.2^((x+2))+32=0`
Solve:
`((2x -3)/(x - 1)) - 4((x - 1)/(2x - 3)) = 3`
Solve the equation 5x2 – 3x – 4 = 0 and give your answer correct to 3 significant figures:
