Final Answer
Step-by-step Solution
Specify the solving method
For a simpler handling of the equation, change the sign of all terms, multiplying the entire whole by $-1$
Multiply $-1$ times $-1$
To find the roots of a polynomial of the form $ax^2+bx+c$ we use the quadratic formula, where in this case $a=1$, $b=-7$ and $c=10$. Then substitute the values of the coefficients of the equation in the quadratic formula: $\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$
Simplifying
To obtain the two solutions, divide the equation in two equations, one when $\pm$ is positive ($+$), and another when $\pm$ is negative ($-$)
Subtract the values $7$ and $-3$
Add the values $7$ and $3$
Divide $10$ by $2$
Divide $4$ by $2$
Combining all solutions, the $2$ solutions of the equation are