Question

quadratic equation 2x^2-3x-3​

Answer 1

x=3±√152

Explanation:

2x2−3x−3=0

divide by 2to make coefficient x2=1x2−3x2−32=0×(2−3x2)−32=0

square half coefficient of x then add and subtract(x2−3x2+(34)2)−32−(34)2=0

the first bracket is now a perfect square(x-32)2−32−94=0(x−32)2−154=0

now rearrange for x(x−32)2=154x−32=±√154x−32=±√152x=32±√152x=3±√152