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a)
m = m²-20
m²-m-20=0
Δ=1-4*(-20)=81
√Δ=9
m1=[1-9] / 2=-4
m2=[1+9] / 2 =5
b)
10=(m²-20)*(-3)+k
10=-3m²+60+k
10-60+3m²=k
k= 3m²-50
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Zad.10
a)
1/2 = log przy podstawie a z 2
a¹/²=2
(a¹/²)²=2²
a=4
f(x) = log₄x
b)
log₄1600-log₄25=
log₄(1600:25)=
log₄64 = 3
c)
0=log₄x
x=4°
x=1
d)
log₄x=-2
x=4⁻²
x = 1 / 4²
x = 1/16