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Gelneren [198K]
3 years ago
8

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

Mathematics
1 answer:
finlep [7]3 years ago
5 0

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)}

Cancel the common terms:

x=\frac{5±\sqrt{5} }{4}

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