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andre [41]
3 years ago
9

(45x-7)4x=57 solve this and ill make out with you

Mathematics
1 answer:
USPshnik [31]3 years ago
4 0

Answer:

After solving (45x-7)4x=57 we get \mathbf{x=0.645 \ or \ x = -0.490}

Step-by-step explanation:

We need to solve the equation: (45x-7)4x=57

Solving:

(45x-7)4x=57

Multiply 4x with terms inside the bracket

180x^2-28x=57

180x^2-28x-57=0

We need to solve above equation to find value of x

Using quadratic formula for finding value of x: x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

We have a=180, b=-28 and c=-57

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-(-28)\pm\sqrt{(-28)^2-4(180)(-57)}}{2(180)}\\x=\frac{28\pm\sqrt{784+41040}}{360}\\x=\frac{28\pm\sqrt{41824}}{360}\\x=\frac{28\pm204.51}{360}\\x=\frac{28+204.51}{360} \ or \ x=\frac{28-204.51}{360}\\x=0.645 \ or \ x = -0.490

Values of x are \mathbf{x=0.645 \ or \ x = -0.490}

So, After solving (45x-7)4x=57 we get \mathbf{x=0.645 \ or \ x = -0.490}

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