Solve T=-1/49^2+4*9+10

$$T = \frac{ -1 }{ 4 } { 9 }^{ 2 } +4 \cdot 9+10$$

Solve for T

$$T = \frac{103}{4} = 25\frac{3}{4} = 25.75$$

Steps for Solving Linear Equation

Fraction \frac{-1}{4} can be rewritten as -\frac{1}{4} by extracting the negative sign.

$$T=-\frac{1}{4}\times 9^{2}+4\times 9+10$$

Calculate 9 to the power of 2 and get 81.

$$T=-\frac{1}{4}\times 81+4\times 9+10$$

Express -\frac{1}{4}\times 81 as a single fraction.

$$T=\frac{-81}{4}+4\times 9+10$$

Fraction \frac{-81}{4} can be rewritten as -\frac{81}{4} by extracting the negative sign.

$$T=-\frac{81}{4}+4\times 9+10$$

Multiply 4 and 9 to get 36.

$$T=-\frac{81}{4}+36+10$$

Convert 36 to fraction \frac{144}{4}.

$$T=-\frac{81}{4}+\frac{144}{4}+10$$

Since -\frac{81}{4} and \frac{144}{4} have the same denominator, add them by adding their numerators.

$$T=\frac{-81+144}{4}+10$$

Add -81 and 144 to get 63.

$$T=\frac{63}{4}+10$$

Convert 10 to fraction \frac{40}{4}.

$$T=\frac{63}{4}+\frac{40}{4}$$

Since \frac{63}{4} and \frac{40}{4} have the same denominator, add them by adding their numerators.

$$T=\frac{63+40}{4}$$

Add 63 and 40 to get 103.

$$T=\frac{103}{4}$$

Assign T

$$T≔\frac{103}{4}$$