What are the solutions to the equation x^2+2ax-35a^2=0 ?

The solutions to the equation x^2+2ax-35a^2=0 are x=5a,x=-7a

Find the zeros of x^2+2ax-35a^2=0

The zeros of x^2+2ax-35a^2=0 are x=5a,x=-7a

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x^{2} + 2 a x - 35 a^{2} = 0

x = 5 a, x = - 7 a

Solution steps

x^{2} + 2 a x - 35 a^{2} = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 2 a \pm ( 2 a ) ^{2} - 4 \cdot 1 \cdot ( - 35 a ^{2} )}{2 \cdot 1}

Simplify

(2 a)^{2} - 4 \cdot 1 \cdot (- 35 a^{2}) : 12 a

x_{1, 2} = \frac{- 2 a \pm 12 a}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 2 a + 12 a}{2 \cdot 1}, x_{2} = \frac{- 2 a - 12 a}{2 \cdot 1}

x = \frac{- 2 a + 12 a}{2 \cdot 1} : 5 a

x = \frac{- 2 a - 12 a}{2 \cdot 1} : - 7 a

The solutions to the quadratic equation are:

x = 5 a, x = - 7 a

k^{2} - 4 k - 21 = 0

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

lo g_{10} (3) x^{2} - lo g_{10} (3) = 2

8 x - x^{2}

x^{2} + 6 x - 17 = 0

What are the solutions to the equation x^2+2ax-35a^2=0 ?
The solutions to the equation x^2+2ax-35a^2=0 are x=5a,x=-7a
Find the zeros of x^2+2ax-35a^2=0
The zeros of x^2+2ax-35a^2=0 are x=5a,x=-7a