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Popular >

4x^2-40x+84=0

Solution

4 x^{2} - 40 x + 84 = 0

Solution

x = 7, x = 3

Solution steps

4 x^{2} - 40 x + 84 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 40 ) \pm ( - 40 ) ^{2} - 4 \cdot 4 \cdot 84}{2 \cdot 4}

(- 40)^{2} - 4 \cdot 4 \cdot 84 = 16

x_{1, 2} = \frac{- ( - 40 ) \pm 16}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- ( - 40 ) + 16}{2 \cdot 4}, x_{2} = \frac{- ( - 40 ) - 16}{2 \cdot 4}

x = \frac{- ( - 40 ) + 16}{2 \cdot 4} : 7

x = \frac{- ( - 40 ) - 16}{2 \cdot 4} : 3

The solutions to the quadratic equation are:

x = 7, x = 3

Popular Examples

x^{2} + 4 x + (- 1) = 0

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x, f = x^{2} + y^{2} + x (y - z) - 4 x - 6 y + 4 z + 30

m^{2} - 4 m - 32 = 0

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A, (A + X)^{2} = BC

quadraticformula x^2-x=0 quadratic formula

x^{2} - x = 0

Frequently Asked Questions (FAQ)

What are the solutions to the equation 4x^2-40x+84=0 ?
The solutions to the equation 4x^2-40x+84=0 are x=7,x=3
Find the zeros of 4x^2-40x+84=0
The zeros of 4x^2-40x+84=0 are x=7,x=3