A quadratic equation has the general formula
expressed as:<span>
ax^2 + bx - c = 0
This equation can be solved by the quadratic
formula which is expressed as:
x = ( -b (+ or -) √(b^2 - 4ac) / 2a
From the given equation, </span><span> y=-0.005x^2+0.41x-5.1 </span><span>
a = -0.005 b = 0.41 c = -5.1
Using the quadratic formula and the corresponding values of the coefficient, we substitute these and obtain:
</span>x = ( -b (+ or -) √(b^2 - 4ac) / 2a x = ( -0.41 (+ or -) √(0.41^2 - 4(-0.005)(5.1)) / 2(-0.005) x1 =66.71 x2 = 15.29
Therefore, the quadratic equation would be factored by using the values of x we obtained as follows: <span>y= -0.005x^2 + 0.41x - 5.1 </span>y = (x - 66.71) ( x - 15.29 )
