Question

(x+14)^2=56
Буду благодарна за помощь

Answer 1

(x+14)²=56
x²+2*14*x+14²=56
x²+28x+196-56=0
x²+28x+140=0
D=28²-140*4=784-560=224
x₁=(-28+√224)/2=(-28+4√14)/2=-14+2√14
x₂=(-28-√224)/2=(-28-4√14)/2=-14-2√14

Answer 2

$( x+14) ^{2} = 56$
$x^{2} + 28x + 196 = 56$
$x^{2} +28x + 140 = 0$
$D = (28^{2}) - 4*1*140 = 784 - 560 = 224$
$\sqrt{D} = \sqrt{224} = 2\sqrt{56}$
$x1 = \frac{-28 - \sqrt{224} }{2} = -2\sqrt{14} - 14$

$x2 = \frac{-28 + \sqrt{224} }{2} = 2\sqrt{14} -14$