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using the quadratic formula with complex solutions cristine - joan caul…

Question

using the quadratic formula with complex solutions
cristine - joan caulian
ex 3) solve the equation using the quadratic formula. enter each
solution in simplest form.
$x^2 + 3x + 7 = 7x$
$x^2 - 4x + 7 = 0$
$a = 1$ $b = - 4$ $c = 7$
$\frac{4pmsqrt{16 - 4(1)(7)}}{2(1)}=\frac{4pmsqrt{16 - 28}}{2}=\frac{4pmsqrt{- 12}}{2}$
open - ended question
is square root 12 simplifiable?
type your answer here
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Explanation:

Step1: Factor 12 into perfect square

$\sqrt{12} = \sqrt{4 \times 3}$

Step2: Separate the square roots

$\sqrt{4 \times 3} = \sqrt{4} \times \sqrt{3}$

Step3: Simplify $\sqrt{4}$

$\sqrt{4} \times \sqrt{3} = 2\sqrt{3}$

Answer:

Yes, $\sqrt{12}$ simplifies to $2\sqrt{3}$.