Question

Solve for x. 0.71= 1/2(9.8) x^2. ​

Answer 1

Answer: 0.38065

in simpler terms x=±  0.145  =±0.38065

Step-by-step explanation: -490x2+71 = 0  

Subtract  71  from both sides of the equation :  

                     -490x2 = -71

Multiply both sides of the equation by (-1) :  490x2 = 71

Divide both sides of the equation by 490:

                    x2 = 71/490 = 0.145

 

When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:  

                     x  =  ± √ 71/490  

The equation has two real solutions  

These solutions are  x = ±√ 0.145 = ± 0.38065