Gezamenlijke Variatie Rekenmachine

Categorie: Algebra en Algemeen

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// Configure MathJax window.MathJax = { tex: { inlineMath: [['\\(', '\\)']], displayMath: [['\\[', '\\]']] }, startup: { pageReady: () => { return MathJax.startup.defaultPageReady(); } } }; document.addEventListener('DOMContentLoaded', function () { const zInput = document.getElementById('z-value'); const xInput = document.getElementById('x-value'); const yInput = document.getElementById('y-value'); const solveFor = document.getElementById('solve-for'); const calculateBtn = document.getElementById('calculate-btn'); const clearBtn = document.getElementById('clear-btn'); const resultOutput = document.getElementById('result-output'); const stepByStepOutput = document.getElementById('step-by-step-output'); const resultContainer = document.getElementById('result-container'); function renderMath() { if (window.MathJax) { MathJax.typesetPromise(); } } function displayResults(result, steps) { resultContainer.style.display = 'block'; resultOutput.innerHTML = `${result}`; stepByStepOutput.innerHTML = steps.map(step => `` ).join(''); renderMath(); } calculateBtn.addEventListener('click', function () { const z = parseFloat(zInput.value.trim()); const x = parseFloat(xInput.value.trim()); const y = parseFloat(yInput.value.trim()); const solveOption = solveFor.value; try { let result; let steps = []; if (solveOption === 'k') { if (isNaN(z) || isNaN(x) || isNaN(y) || x === 0 || y === 0) { throw new Error('Geldige waarden voor z, x en y zijn vereist, en x, y ≠ 0.'); } result = z / (x * y); steps = [ `Stap 1: Gebruik de formule \\(z = kxy\\).`, `Stap 2: Herformuleer om \\(k = \\frac{z}{xy}\\) te vinden.`, `Stap 3: Vervang \\(z = ${z}\\), \\(x = ${x}\\), en \\(y = ${y}\\).`, `Stap 4: Bereken \\(k = \\frac{${z}}{${x} \\times ${y}} = ${result}\\).` ]; } else if (solveOption === 'z') { if (isNaN(x) || isNaN(y) || isNaN(z)) { throw new Error('Geldige waarden voor x, y en k zijn vereist.'); } result = z * x * y; steps = [ `Stap 1: Gebruik de formule \\(z = kxy\\).`, `Stap 2: Vervang \\(k = ${z}\\), \\(x = ${x}\\), en \\(y = ${y}\\).`, `Stap 3: Bereken \\(z = ${z} \\times ${x} \\times ${y} = ${result}\\).` ]; } else if (solveOption === 'x' || solveOption === 'y') { const known = solveOption === 'x' ? y : x; if (isNaN(z) || isNaN(known) || known === 0) { throw new Error(`Geldige waarden voor z en ${solveOption === 'x' ? 'y' : 'x'} zijn vereist, en mogen niet 0 zijn.`); } result = z / (known); steps = [ `Stap 1: Gebruik de formule \\(z = kxy\\).`, `Stap 2: Herformuleer om \\(${solveOption} = \\frac{z}{k${solveOption === 'x' ? 'y' : 'x'}}\\) te vinden.`, `Stap 3: Vervang de bekende waarden.`, `Stap 4: Bereken \\(${solveOption} = \\frac{${z}}{${known}} = ${result}\\).` ]; } displayResults(result, steps); } catch (error) { resultContainer.style.display = 'block'; resultOutput.innerHTML = `Fout: ${error.message}`; stepByStepOutput.innerHTML = ''; } }); clearBtn.addEventListener('click', function () { zInput.value = ''; xInput.value = ''; yInput.value = ''; resultContainer.style.display = 'none'; resultOutput.innerHTML = ''; stepByStepOutput.innerHTML = ''; }); // Initial MathJax render renderMath(); });