Final answer:
To solve the quadratic equation 8v²+9v-9=0, we can use the quadratic formula. The solutions to the equation are approximately v = 0.489 and v = -1.139.
Step-by-step explanation:
To solve the quadratic equation 8v²+9v-9=0, we can use the quadratic formula. The quadratic formula states that for an equation of the form ax²+bx+c=0, the solutions for x are given by:
x = (-b ± √(b²-4ac))/(2a)
In this case, a = 8, b = 9, and c = -9. Plugging in these values into the quadratic formula, we get:
v = (-9 ± √(9²-(4)(8)(-9)))/(2(8))
Simplifying further, we get:
v = (-9 ± √(81+288))/(16)
v = (-9 ± √369)/(16)
Therefore, the solutions to the equation 8v²+9v-9=0 are approximately v = 0.489 and v = -1.139.