What are the solutions to the equation 4x^2-21x+5=0 ?

The solutions to the equation 4x^2-21x+5=0 are x=5,x= 1/4

Find the zeros of 4x^2-21x+5=0

The zeros of 4x^2-21x+5=0 are x=5,x= 1/4

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4 x^{2} - 21 x + 5 = 0

x = 5, x = \frac{1}{4}

Decimal Notation

x = 5, x = 0.25

Solution steps

4 x^{2} - 21 x + 5 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 21 ) \pm ( - 21 ) ^{2} - 4 \cdot 4 \cdot 5}{2 \cdot 4}

(- 21)^{2} - 4 \cdot 4 \cdot 5 = 19

x_{1, 2} = \frac{- ( - 21 ) \pm 19}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- ( - 21 ) + 19}{2 \cdot 4}, x_{2} = \frac{- ( - 21 ) - 19}{2 \cdot 4}

x = \frac{- ( - 21 ) + 19}{2 \cdot 4} : 5

x = \frac{- ( - 21 ) - 19}{2 \cdot 4} : \frac{1}{4}

The solutions to the quadratic equation are:

x = 5, x = \frac{1}{4}

2 x - 6 = x - 22

x^{2} - 5 \geq 31

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

2 x^{3} + 6 x^{2} - 4 x

\frac{5 x - 3}{2} \geq 6

What are the solutions to the equation 4x^2-21x+5=0 ?
The solutions to the equation 4x^2-21x+5=0 are x=5,x= 1/4
Find the zeros of 4x^2-21x+5=0
The zeros of 4x^2-21x+5=0 are x=5,x= 1/4