The quadratic formula is:
and
![(-b - √(b^2 - 4ac) )/(2a)](https://img.qammunity.org/2023/formulas/mathematics/high-school/83zmac5dciryg7mnie5q57b7mclqdjysnf.png)
In this case, a = 2, b = -3, and c = -7
So, we can plug in the numbers to get:
and
![(-(-3) - √((-3)^2 - 4(2)(-7)) )/(2(2))](https://img.qammunity.org/2023/formulas/mathematics/high-school/5gyamptpl5nzcwui0hdgc6gjgfx34cny70.png)
Simplifying, we get:
and
![(3 - √(65) )/(4)](https://img.qammunity.org/2023/formulas/mathematics/high-school/zw46dabibsmn983b6ed353w1t72esvqftj.png)
You need to use a calculator to find what these would be in decimal form. The answer, rounded to the nearest tenth, is: x = 2.8, x = -1.3