Solve `2m^(2) + 19m + 30 =0`

Solve x^(2)+2=0

If m is a number such that m le 5 , then the probability that quadratic equation 2x^(2) + 2mx + m + 1 = 0 has real roots is

If one of the lines of my^(2) + (1 - m^(2))xy - mx^(2) = 0 is a bisector of the angle between the lines xy = 0, then m is

A semiconductor has the electron concentration 0.45 xx 10^(12) m^(-3) and hole concentration 5 xx 10^(29) m^(-3) . Find its conductivity . Given electron mobility = 0.135 m^(2) V^(-1) s^(-1) and hole mobility = 0.048 m^(2) V^(-1) s^(-1) , e = 1.6 xx 10^(-19) C

Show that the area of the triangle formed by the lines y = m_(1) x + c_(1) , y = m_(2) x + c_(2) " and " x = 0 " is " ((c_(1) - c_(2))^(2))/(2|m_(1) - m_(2)|)

Solve 3|x-2|+7=19 for x.

Suppose while sitting in a parked car, you notice a jogger approaching towards you in the side view mirror of R = 2m. If the jogger is running at a speed of 5 ms^(-1) , how fast the image of the jogger appears to move when the jogger is (a) 39 m (b) 29 m (c) 19m (d) 9 m aways.