6x2−5x−6
x=1.5,x≈−0.67
Step 1 :Given the quadratic equation: 6x2−5x−6=0
Step 2 :Using the quadratic formula: x=−b±b2−4ac2a, where a=6, b=−5, and c=−6
Step 3 :Calculate the discriminant: Δ=b2−4ac=(−5)2−4(6)(−6)=169
Step 4 :Find the roots: x1=−(−5)+1692(6)=1.5 and x2=−(−5)−1692(6)≈−0.67
Step 5 :x=1.5,x≈−0.67