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Popular >

Solve Using the Quadratic Formula x^2-5x-14=0

Solution

x^{2} - 5 x - 14 = 0

Solution

x = 7, x = - 2

Solution steps

x^{2} - 5 x - 14 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 5 ) \pm ( - 5 ) ^{2} - 4 \cdot 1 \cdot ( - 14 )}{2 \cdot 1}

(- 5)^{2} - 4 \cdot 1 \cdot (- 14) = 9

x_{1, 2} = \frac{- ( - 5 ) \pm 9}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 5 ) + 9}{2 \cdot 1}, x_{2} = \frac{- ( - 5 ) - 9}{2 \cdot 1}

x = \frac{- ( - 5 ) + 9}{2 \cdot 1} : 7

x = \frac{- ( - 5 ) - 9}{2 \cdot 1} : - 2

The solutions to the quadratic equation are:

x = 7, x = - 2

Popular Examples

Simplify square root of 50/18 simplify

\frac{50}{18}

Solve Using the Quadratic Formula 3x^2-2x-4=0 quadratic formula

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

Factor 15x-3 factor

15 x - 3

Solve for s s/(2s+6)-2/(5s+5)=(5s^2-3s-7)/(10s^2+40s+30)solve for

s, \frac{s}{( 2 s + 6 )} - \frac{2}{( 5 s + 5 )} = \frac{( 5 s ^{2} - 3 s - 7 )}{( 10 s ^{2} + 40 s + 30 )}

Solve for x 2^(-x)=1.5 solve for

x, 2^{- x} = 1.5

Frequently Asked Questions (FAQ)

What are the solutions to the equation quadraticformula x^2-5x-14=0 ?
The solutions to the equation quadraticformula x^2-5x-14=0 are x=7,x=-2
Find the zeros of quadraticformula x^2-5x-14=0
The zeros of quadraticformula x^2-5x-14=0 are x=7,x=-2