(√2x - 1)(√2x+1)-(2x+1)²+(3x-2)²=5x²-12
√2x* √2x
(√2x-1)(√2x+1)-(2x+1)^2+(3x-2)^2=5x^2-12
2x^2-1-( 4x^2+4x +1)+9x^2-12x+4=5x^2-12
2x^2-1-4x^2-4x -1+9x^2-12x+4+5x^2-12
7x^2-16x+2=5x^2-12 /+12
7x^2-16x+14=5x^2 /-5x^2
2x^2-16x+14=0
Δ=256-4*2*14
Δ=256-112
Δ=144
√144=12
x1=(16-12)/4=4/4=1
x2=(16+12)/4=7
√2x*√2x=2x^2
2x² - 1 -( 4x² + 4x +1) + 9x² - 12x + 4 = 5x² - 12
2x² - 1 - 4x² - 4x -1 + 9x² - 12x + 4 = 5x² - 12
7x² - 16x + 2 = 5x² - 12
7x² - 16x - 5x² + 12 + 2 = 0
2x² - 16x + 14 = 0 /:2
x² - 8x + 7 = 0
Δ = 64 - 4 * 1 *7 = 64 - 28 = 36
√Δ = 6
x1 = (8 - 6)/2 = 2/2 = 1
x2 = (8 + 6)/2 = 14/2 = 7
√2x* √2x = 2x²
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(√2x-1)(√2x+1)-(2x+1)^2+(3x-2)^2=5x^2-12
2x^2-1-( 4x^2+4x +1)+9x^2-12x+4=5x^2-12
2x^2-1-4x^2-4x -1+9x^2-12x+4+5x^2-12
7x^2-16x+2=5x^2-12 /+12
7x^2-16x+14=5x^2 /-5x^2
2x^2-16x+14=0
Δ=256-4*2*14
Δ=256-112
Δ=144
√144=12
x1=(16-12)/4=4/4=1
x2=(16+12)/4=7
√2x*√2x=2x^2
(√2x - 1)(√2x+1)-(2x+1)²+(3x-2)²=5x²-12
2x² - 1 -( 4x² + 4x +1) + 9x² - 12x + 4 = 5x² - 12
2x² - 1 - 4x² - 4x -1 + 9x² - 12x + 4 = 5x² - 12
7x² - 16x + 2 = 5x² - 12
7x² - 16x - 5x² + 12 + 2 = 0
2x² - 16x + 14 = 0 /:2
x² - 8x + 7 = 0
Δ = 64 - 4 * 1 *7 = 64 - 28 = 36
√Δ = 6
x1 = (8 - 6)/2 = 2/2 = 1
x2 = (8 + 6)/2 = 14/2 = 7
√2x* √2x = 2x²