What are the solutions to the equation 2x(x-7/2)=49 ?

The solutions to the equation 2x(x-7/2)=49 are x=7,x=-7/2

Find the zeros of 2x(x-7/2)=49

The zeros of 2x(x-7/2)=49 are x=7,x=-7/2

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2 x (x - \frac{7}{2}) = 49

x = 7, x = - \frac{7}{2}

Decimal Notation

x = 7, x = - 3.5

Solution steps

2 x (x - \frac{7}{2}) = 49

Expand

2 x (x - \frac{7}{2}) : 2 x^{2} - 7 x

2 x^{2} - 7 x = 49

Move

49

to the left side

2 x^{2} - 7 x - 49 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 \cdot 2 ( - 49 )}{2 \cdot 2}

(- 7)^{2} - 4 \cdot 2 (- 49) = 21

x_{1, 2} = \frac{- ( - 7 ) \pm 21}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- ( - 7 ) + 21}{2 \cdot 2}, x_{2} = \frac{- ( - 7 ) - 21}{2 \cdot 2}

x = \frac{- ( - 7 ) + 21}{2 \cdot 2} : 7

x = \frac{- ( - 7 ) - 21}{2 \cdot 2} : - \frac{7}{2}

The solutions to the quadratic equation are:

x = 7, x = - \frac{7}{2}

r, r^{2} + 1 = 0

6 x^{2} + 24 x - 30 = 0

- 3 x^{2} + 14 x - 14 = 0

y, (x - 3)^{2} + (y + 2)^{2} = 9

3 x^{2} + 9 x = 12

What are the solutions to the equation 2x(x-7/2)=49 ?
The solutions to the equation 2x(x-7/2)=49 are x=7,x=-7/2
Find the zeros of 2x(x-7/2)=49
The zeros of 2x(x-7/2)=49 are x=7,x=-7/2