What is the answer to (5sqrt(2)-e)(3sqrt(2)+e)=fsqrt(2)-6 ?

The answer to (5sqrt(2)-e)(3sqrt(2)+e)=fsqrt(2)-6 is f=(-e^2+2sqrt(2)e+36)/(sqrt(2))

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(5sqrt(2)-e)(3sqrt(2)+e)=fsqrt(2)-6

(52 - e) (32 + e) = f 2 - 6

f = \frac{- e ^{2} + 2 2 e + 36}{2}

Decimal Notation

f = 25.66755 \dots

Solution steps

(52 - e) (32 + e) = f 2 - 6

Switch sides

f 2 - 6 = (52 - e) (32 + e)

Move

6

to the right side

f 2 = - e^{2} + 22 e + 36

Divide both sides by

2

f = \frac{- e ^{2} + 2 2 e + 36}{2}

\frac{x}{6} \geq 5

2 x^{2} - 7 x - 72

\frac{( x ^{2} + 1 ) ( x - 3 )}{x ^{2} - 9} \geq 0

(x + 4) (x - 6) (4 - 5) = 0

9 (x - 5) = 8 (x + 5)

What is the answer to (5sqrt(2)-e)(3sqrt(2)+e)=fsqrt(2)-6 ?
The answer to (5sqrt(2)-e)(3sqrt(2)+e)=fsqrt(2)-6 is f=(-e^2+2sqrt(2)e+36)/(sqrt(2))