[tex] \bf \blue{(a + b) {}^{2} = {a}^{2} + 2ab + {b}^{2} }[/tex]
[tex]4(x + 3) {}^{2} - 7 = 29 \\ 4(x {}^{2} + 2 \times x \times 3 + 3 {}^{2} ) - 7 - 29 = 0 \\ 4( {x}^{2} + 6x + 9) - 36 = 0 \\ 4x {}^{2} + 4 \times 6x + 4 \times 9 - 36 = 0 \\ 4x {}^{2} + 24x + 36 - 36 = 0 \\ 4x {}^{2} + 24x = 0 \\ 4(x {}^{2} + 6x) = 0 | \div 4\\ x {}^{2} + 6x = 0[/tex]
{a=1
{b=6
{c=0
delta=b²- 4ac=6²-4•1•0=36-0=36
x1= -b - ✓delta /2a = -6 - ✓36 /2•1 = - 6 -6/2
x1= -12/2 = - 6
x2= -b + ✓delta /2a = -6 + ✓36 /2•1
x2= -6+6/2 = 0/2 =0
x1=-6
x2=0
