What are the solutions to the equation x^2-3ax-28a^2=0 ?

The solutions to the equation x^2-3ax-28a^2=0 are x=7a,x=-4a

Find the zeros of x^2-3ax-28a^2=0

The zeros of x^2-3ax-28a^2=0 are x=7a,x=-4a

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x^{2} - 3 a x - 28 a^{2} = 0

x = 7 a, x = - 4 a

Solution steps

x^{2} - 3 a x - 28 a^{2} = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 3 a ) \pm ( - 3 a ) ^{2} - 4 \cdot 1 \cdot ( - 28 a ^{2} )}{2 \cdot 1}

Simplify

(- 3 a)^{2} - 4 \cdot 1 \cdot (- 28 a^{2}) : 11 a

x_{1, 2} = \frac{- ( - 3 a ) \pm 11 a}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 3 a ) + 11 a}{2 \cdot 1}, x_{2} = \frac{- ( - 3 a ) - 11 a}{2 \cdot 1}

x = \frac{- ( - 3 a ) + 11 a}{2 \cdot 1} : 7 a

x = \frac{- ( - 3 a ) - 11 a}{2 \cdot 1} : - 4 a

The solutions to the quadratic equation are:

x = 7 a, x = - 4 a

2 x^{2} - 3 x = 7

y, 3 x^{2} - y^{2} = 5 x^{3} y^{2} - 4

x, 3 x^{2} - 8 x + 4 = 0

x, y = c_{1} x^{2} + c_{2} x + c_{3}

0 = 5 x^{2} - 20

What are the solutions to the equation x^2-3ax-28a^2=0 ?
The solutions to the equation x^2-3ax-28a^2=0 are x=7a,x=-4a
Find the zeros of x^2-3ax-28a^2=0
The zeros of x^2-3ax-28a^2=0 are x=7a,x=-4a