wartośc wyrazenia ∛3 ⅜ + (-3)² · x - (1-2¼)² dla x= 1,5 jest równa?
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3 ⅜ + (-3)² · x - (1-2¼)² dla x= 1,5
3 ⅜ + 9 · x - (-1¼)² = 3 ⅜ + 9x + 5/4 * 5/4 = 3 ⅜ + 9x + 25/16 = 54/16 + 9x + 25/16 = 79/16 + 9x = 79/16 + 9 * 1,5 = 79/16 + 13,5 = 79/16 + 216/16 = 295/16 = 18 7/16
pierwiastek 3 stopnia z 3 i 3/8=(3 3/8)^1/3(3 3/8)^1/3+9x-(1-9/4)^2=(27/8)^1/3+9x-(4/4-9/4)^2=3/2+9x-(-5/4)^2= =3/2+9x-25/4=9x-25/4+6/4=9x-19/4x=1,59x-19/4=9*1,5-19/4=13,5-4.75=8,75
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3 ⅜ + (-3)² · x - (1-2¼)² dla x= 1,5
3 ⅜ + 9 · x - (-1¼)² = 3 ⅜ + 9x + 5/4 * 5/4 = 3 ⅜ + 9x + 25/16 = 54/16 + 9x + 25/16 = 79/16 + 9x = 79/16 + 9 * 1,5 = 79/16 + 13,5 = 79/16 + 216/16 = 295/16 = 18 7/16
pierwiastek 3 stopnia z 3 i 3/8=(3 3/8)^1/3
(3 3/8)^1/3+9x-(1-9/4)^2=(27/8)^1/3+9x-(4/4-9/4)^2=3/2+9x-(-5/4)^2= =3/2+9x-25/4=9x-25/4+6/4=9x-19/4
x=1,5
9x-19/4=9*1,5-19/4=13,5-4.75=8,75