What are the solutions to the equation x^2+3/4 x-70=0 ?

The solutions to the equation x^2+3/4 x-70=0 are x=8,x=-35/4

Find the zeros of x^2+3/4 x-70=0

The zeros of x^2+3/4 x-70=0 are x=8,x=-35/4

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x^{2} + \frac{3}{4} x - 70 = 0

x = 8, x = - \frac{35}{4}

Decimal Notation

x = 8, x = - 8.75

Solution steps

x^{2} + \frac{3}{4} x - 70 = 0

Multiply both sides by

4

4 x^{2} + 3 x - 280 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 3 \pm 3 ^{2} - 4 \cdot 4 ( - 280 )}{2 \cdot 4}

3^{2} - 4 \cdot 4 (- 280) = 67

x_{1, 2} = \frac{- 3 \pm 67}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- 3 + 67}{2 \cdot 4}, x_{2} = \frac{- 3 - 67}{2 \cdot 4}

x = \frac{- 3 + 67}{2 \cdot 4} : 8

x = \frac{- 3 - 67}{2 \cdot 4} : - \frac{35}{4}

The solutions to the quadratic equation are:

x = 8, x = - \frac{35}{4}

- 6 (t + 1) = 0

2^{2} + 5^{2}

- 4 ∣ x + 6 ∣ < - 3

ln (1.4)

6 (5 k - 8) - 20 = 11 (2 k - 3 + 3 k) + 3 k

What are the solutions to the equation x^2+3/4 x-70=0 ?
The solutions to the equation x^2+3/4 x-70=0 are x=8,x=-35/4
Find the zeros of x^2+3/4 x-70=0
The zeros of x^2+3/4 x-70=0 are x=8,x=-35/4