Question

4(3)?×17=87

Explanation:

Step1: Simplify the left side

First, calculate \(4\times(3)^2\). According to the order of operations, we first calculate the exponent: \(3^2 = 9\). Then multiply by 4: \(4\times9 = 36\). So the left side becomes \(36 + 7\) (assuming the "×" was a typo and should be "+" as \(4(3)^2+7\) to get 87, since \(4\times9 + 7=36 + 7 = 43\) is not 87, maybe the base is different. Wait, maybe the original is \(x(3)^2+7 = 87\)? Let's assume we need to solve for \(x\). So first, subtract 7 from both sides: \(x\times9=87 - 7=80\)? No, 87 - 7 is 80? Wait 87 - 7 is 80? No, 87 - 7 = 80? Wait 87 - 7 is 80? Wait 87 - 7 = 80? Wait no, 87 - 7 = 80? Wait 87 - 7 is 80? Wait maybe the original is \(4x^2+7 = 87\)? Let's try that. Subtract 7: \(4x^2=80\), then divide by 4: \(x^2 = 20\), \(x=\pm\sqrt{20}=\pm2\sqrt{5}\). But the original has (3), maybe \(4(3)^2 + y=87\)? Then \(36 + y=87\), so \(y = 87 - 36=51\). Alternatively, if it's \(x(3)^2+7 = 87\), then \(9x=80\), \(x=\frac{80}{9}\approx8.89\). But the writing is unclear. Maybe the intended equation is \(4x^2+7 = 87\). Let's solve that:

Step1: Subtract 7 from both sides

\(4x^2+7 - 7=87 - 7\)
\(4x^2 = 80\)

Step2: Divide both sides by 4

\(\frac{4x^2}{4}=\frac{80}{4}\)
\(x^2 = 20\)

Step3: Take square root

\(x=\pm\sqrt{20}=\pm2\sqrt{5}\approx\pm4.47\)

But if the original is \(4(3)^2 + 7\), that's 36 + 7 = 43 ≠ 87. If it's \(x(3)^2+7 = 87\), then \(9x=80\), \(x=\frac{80}{9}\). Alternatively, maybe the base is 5: \(4(5)^2+7=4\times25 + 7=100 + 7 = 107\) no. Base 4: \(4(4)^2+7=4\times16 + 7=64 + 7 = 71\) no. Base 6: \(4(6)^2+7=4\times36 + 7=144 + 7 = 151\) no. Maybe the equation is \(4x + 7 = 87\)? Then \(4x=80\), \(x = 20\). That makes sense. Maybe the (3) was a typo. Let's assume the equation is \(4x + 7 = 87\):

Step1: Subtract 7 from both sides

\(4x+7 - 7=87 - 7\)
\(4x = 80\)

Step2: Divide by 4

\(x=\frac{80}{4}=20\)

Given the handwriting, maybe the (3) is a typo and the equation is \(4x + 7 = 87\). So solving that:

Step1: Subtract 7 from both sides

\(4x + 7 - 7 = 87 - 7\)
\(4x = 80\)

Step2: Divide by 4

\(x=\frac{80}{4}\)
\(x = 20\)

Answer:

\(x = 20\) (assuming the equation is \(4x + 7 = 87\) with a typo in the (3))