3 years ago

1. Simplify: a^7/a^4

Mathematics

1 answer:

IgorC [24]3 years ago

6 0

1)a^7/a^4
=a^[7-4]
=a³

2) r²s⁴t/r²st³
=s⁴-¹.t¹-³
=s³.t-²
=s³/t²

3)3x^6/18x
=x^5/6

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Use the quadratic formula to solve the equation.<br><br> 4x^2−10x+5=0

finlep [7]

Quadratic formula:

$x=\frac{-b±\sqrt{b^{2}-4ac } }{2a}$

What do we have:

a=4

b=-10

c=5

Substitude:

$x=\frac{10±\sqrt{b^{2}-4(4)(5)}}{2(a)}$

Solve:

$x=\frac{10±\sqrt{(-10)^{2}-4(4)(5)}}{2(4)}\\\\x=\frac{10±\sqrt{100-4(20)}}{8}\\\\x=\frac{10±\sqrt{100-4(20)}}{8}\\\\x=\frac{10±\sqrt{100-80}}{8}\\\\x=\frac{10±\sqrt{20}}{8}\\\\x=\frac{10±2\sqrt{5 }}{8}\\\\x=\frac{2(±5\sqrt{5) }}{2(4)}$