Solve each equation using completing the square. -3x² + 6x + 5 = 0

Solve each equation. (x+4)(x+2) = 2x

Which equation has two real, distinct solutions? Do not actually solve.

A. (3x-4)² = -9 B. (4-7x)² = 0 C. (5x-9)(5x-9) = 0 D. (7x+4)² = 11

Solve each equation or inequality. | 3x + 1 | - 1 < 2

Height of a Projected Ball An astronaut on the moon throws a baseball upward. The astronaut is 6 ft, 6 in. tall, and the initial velocity of the ball is 30 ft per sec. The height s of the ball in feet is given by the equations=-2.7t²+30t+6.5,where t is the number of seconds after the ball was thrown. (a) After how many seconds is the ball 12 ft above the moon's surface? Round to the nearest hundredth. (b) How many seconds will it take for the ball to hit the moon's surface? Round to the nearest hundredth.

Solve each quadratic inequality. Give the solution set in interval notation. x(x-1)≤6

Solve each equation. √(3x+7) = 3x+5

Find each sum or difference. Write answers in standard form. (3+2i) + (9+3i)

Solve each formula for the specified variable. Assume that the denominator is not 0 if variables appear in the denominator. z = (x-μ)/σ, for x (standardized value)

Solve each equation or inequality. | 5x + 2 | - 2 < 3

Solve each equation. √(4x+13) = 2x-1

Solve each equation using completing the square. 3x² - 9x + 7 = 0

Solve each quadratic inequality. Give the solution set in interval notation. x(x+1)<12

See Exercise 47. (b)Which equation has two nonreal complex solutions?

Solve each quadratic inequality. Give the solution set in interval notation. x²≤9

Solve each equation or inequality. | 5x + 1/2 | -2 < 5

Solve each equation for x. 2(x-a) +b =3x+a

Find each sum or difference. Write answers in standard form. (-2+4i) - (-4+4i)

Solve each equation or inequality. | 2x+ 1/3 | +1 < 4

Evaluate the discriminant for each equation. Then use it to determine the number and type of solutions. 8x² = -2x -6

Solve each quadratic inequality. Give the solution set in interval notation. x²>16

Solve each equation. √(6x+7) - 9 = x-7

Find each sum or difference. Write answers in standard form. (-3+2i) - (-4+2i)

Solve each equation. √4x-x+3=0

Solve each equation or inequality. | 10 - 4x | + 1 ≥ 5

Evaluate the discriminant for each equation. Then use it to determine the number and type of solutions. -8x² + 10x = 7

Solve each equation for x. ax+b=3(x-a)

Solve each equation using the quadratic formula. x² - x - 1 = 0

Find each sum or difference. Write answers in standard form. (2-5i) - (3+4i) - (-2+i)

Solve each equation or inequality. | 12- 6x | + 3 ≥ 9