a+b=4
ab=7.74
solve for a and b
any help would really be appreciated.
Hello, cherrybomb21!
Is there a typo?
. . There are no real solutions.
Solve for $\displaystyle a$ and $\displaystyle b\!:\;\;\begin{array}{ccc}a+b &= & 4\\
ab & =& 7.74\end{array}$
Solve the first equation for $\displaystyle b\!:\;\;b \:=\:4-a$
Substitute into the second equation: .$\displaystyle a(4-a) \:=\:7.74$
And we have a quadratic equation: .$\displaystyle a^2 - 4a + 7.74 \:=\:0$
. . which has complex roots: . $\displaystyle \begin{array}{ccc}a & = & 2 \pm i\sqrt{3.74} \\ b & = & 2 \mp i\sqrt{3.74}\end{array}$