What are the solutions to the equation 4k^2+15=16k ?

The solutions to the equation 4k^2+15=16k are k= 5/2 ,k= 3/2

Find the zeros of 4k^2+15=16k

The zeros of 4k^2+15=16k are k= 5/2 ,k= 3/2

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4 k^{2} + 15 = 16 k

k = \frac{5}{2}, k = \frac{3}{2}

Decimal Notation

k = 2.5, k = 1.5

Solution steps

4 k^{2} + 15 = 16 k

Move

16 k

to the left side

4 k^{2} + 15 - 16 k = 0

Write in the standard form

a x^{2} + b x + c = 0

4 k^{2} - 16 k + 15 = 0

Solve with the quadratic formula

k_{1, 2} = \frac{- ( - 16 ) \pm ( - 16 ) ^{2} - 4 \cdot 4 \cdot 15}{2 \cdot 4}

(- 16)^{2} - 4 \cdot 4 \cdot 15 = 4

k_{1, 2} = \frac{- ( - 16 ) \pm 4}{2 \cdot 4}

Separate the solutions

k_{1} = \frac{- ( - 16 ) + 4}{2 \cdot 4}, k_{2} = \frac{- ( - 16 ) - 4}{2 \cdot 4}

k = \frac{- ( - 16 ) + 4}{2 \cdot 4} : \frac{5}{2}

k = \frac{- ( - 16 ) - 4}{2 \cdot 4} : \frac{3}{2}

The solutions to the quadratic equation are:

k = \frac{5}{2}, k = \frac{3}{2}

X^{2} - 3 X - 7 = 0

121 x^{2} - 132 x + 36 = 0

(n + 10) + 2 (n + 2) + (n + 4)^{2} = 1984

3 x^{2} - 8 x - 14 = 0

- y (5 - y) = 0

What are the solutions to the equation 4k^2+15=16k ?
The solutions to the equation 4k^2+15=16k are k= 5/2 ,k= 3/2
Find the zeros of 4k^2+15=16k
The zeros of 4k^2+15=16k are k= 5/2 ,k= 3/2