Answer:
x=0.450765 or x=−0.950765
Step-by-step explanation:
14x² + 7x - 6
→ Find the product, sum and factors
Product = -6
Sum = 7
Factors = No factors
→ Since there are no factors utilise the quadratic formula
![\frac{-b+-\sqrt{b^{2}-4ac } }{2a}](https://tex.z-dn.net/?f=%5Cfrac%7B-b%2B-%5Csqrt%7Bb%5E%7B2%7D-4ac%20%7D%20%7D%7B2a%7D)
→ List the values of a, b and c
a = 14
b = 7
c= -6
→ Substitute into the formula
![\frac{-7+-\sqrt{7^{2}-4*14*-6} }{2*14}](https://tex.z-dn.net/?f=%5Cfrac%7B-7%2B-%5Csqrt%7B7%5E%7B2%7D-4%2A14%2A-6%7D%20%7D%7B2%2A14%7D)
→ Simplify
x=0.450765 or x=−0.950765